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1445428072 = 2311311094861
BaseRepresentation
bin101011000100111…
…0111101101101000
310201201211100120001
41112021313231220
510430012144242
6355232312344
750550636004
oct12611675550
93651740501
101445428072
116819a7560
123440a26b4
131a05c5baa
14d9d79704
1586d69eb7
hex56277b68

1445428072 has 64 divisors (see below), whose sum is σ = 3080563200. Its totient is φ = 629856000.

The previous prime is 1445428037. The next prime is 1445428109. The reversal of 1445428072 is 2708245441.

It is a super-2 number, since 2×14454280722 = 4178524622651274368, which contains 22 as substring.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 294922 + ... + 299782.

It is an arithmetic number, because the mean of its divisors is an integer number (48133800).

Almost surely, 21445428072 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 1445428072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1540281600).

1445428072 is an abundant number, since it is smaller than the sum of its proper divisors (1635135128).

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

1445428072 is a wasteful number, since it uses less digits than its factorization.

1445428072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5018 (or 5014 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 37.

The square root of 1445428072 is about 38018.7857775600. The cubic root of 1445428072 is about 1130.6603475794.

The spelling of 1445428072 in words is "one billion, four hundred forty-five million, four hundred twenty-eight thousand, seventy-two".

Divisors: 1 2 4 8 11 22 31 44 62 88 109 124 218 248 341 436 682 872 1199 1364 2398 2728 3379 4796 4861 6758 9592 9722 13516 19444 27032 37169 38888 53471 74338 106942 148676 150691 213884 297352 301382 427768 529849 602764 1059698 1205528 1657601 2119396 3315202 4238792 5828339 6630404 11656678 13260808 16425319 23313356 32850638 46626712 65701276 131402552 180678509 361357018 722714036 1445428072