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1828114848 = 253271376619
BaseRepresentation
bin110110011110110…
…1101000110100000
311201101220212010100
41230331231012200
512220444133343
6501222502400
763205501620
oct15475550640
94641825110
101828114848
11858a1781a
12430294a00
13231984c81
14134b14880
15aa75d9d3
hex6cf6d1a0

1828114848 has 144 divisors (see below), whose sum is σ = 5985645120. Its totient is φ = 518427648.

The previous prime is 1828114843. The next prime is 1828114859. The reversal of 1828114848 is 8484118281.

1828114848 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1828114843) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 272883 + ... + 279501.

It is an arithmetic number, because the mean of its divisors is an integer number (41566980).

Almost surely, 21828114848 is an apocalyptic number.

1828114848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1828114848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2992822560).

1828114848 is an abundant number, since it is smaller than the sum of its proper divisors (4157530272).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1828114848 is a wasteful number, since it uses less digits than its factorization.

1828114848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6779 (or 6768 counting only the distinct ones).

The product of its digits is 131072, while the sum is 45.

The square root of 1828114848 is about 42756.4597224794. The cubic root of 1828114848 is about 1222.7410482311.

The spelling of 1828114848 in words is "one billion, eight hundred twenty-eight million, one hundred fourteen thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 137 144 168 224 252 274 288 336 411 504 548 672 822 959 1008 1096 1233 1644 1918 2016 2192 2466 2877 3288 3836 4384 4932 5754 6576 6619 7672 8631 9864 11508 13152 13238 15344 17262 19728 19857 23016 26476 30688 34524 39456 39714 46032 46333 52952 59571 69048 79428 92064 92666 105904 119142 138096 138999 158856 185332 211808 238284 276192 277998 317712 370664 416997 476568 555996 635424 741328 833994 906803 953136 1111992 1482656 1667988 1813606 1906272 2223984 2720409 3335976 3627212 4447968 5440818 6347621 6671952 7254424 8161227 10881636 12695242 13343904 14508848 16322454 19042863 21763272 25390484 29017696 32644908 38085726 43526544 50780968 57128589 65289816 76171452 87053088 101561936 114257178 130579632 152342904 203123872 228514356 261159264 304685808 457028712 609371616 914057424 1828114848