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48051792 = 243517727
BaseRepresentation
bin1011011101001…
…1011001010000
310100102021200000
42313103121100
544300124132
64433530000
71122301455
oct267233120
9110367600
1048051792
1125140028
1214113900
139c55719
14654b82c
15434287c
hex2dd3650

48051792 has 120 divisors (see below), whose sum is σ = 147865536. Its totient is φ = 15054336.

The previous prime is 48051743. The next prime is 48051799. The reversal of 48051792 is 29715084.

48051792 is a `hidden beast` number, since 480 + 5 + 179 + 2 = 666.

48051792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×480517922 = 4617949428822528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48051799) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65733 + ... + 66459.

Almost surely, 248051792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48051792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73932768).

48051792 is an abundant number, since it is smaller than the sum of its proper divisors (99813744).

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

48051792 is a wasteful number, since it uses less digits than its factorization.

48051792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 48051792 is about 6931.9399881996. The cubic root of 48051792 is about 363.5547831233.

The spelling of 48051792 in words is "forty-eight million, fifty-one thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 81 102 108 136 144 153 162 204 216 243 272 306 324 408 432 459 486 612 648 727 816 918 972 1224 1296 1377 1454 1836 1944 2181 2448 2754 2908 3672 3888 4131 4362 5508 5816 6543 7344 8262 8724 11016 11632 12359 13086 16524 17448 19629 22032 24718 26172 33048 34896 37077 39258 49436 52344 58887 66096 74154 78516 98872 104688 111231 117774 148308 157032 176661 197744 222462 235548 296616 314064 333693 353322 444924 471096 593232 667386 706644 889848 942192 1001079 1334772 1413288 1779696 2002158 2669544 2826576 3003237 4004316 5339088 6006474 8008632 12012948 16017264 24025896 48051792