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745560972 = 22321373139157
BaseRepresentation
bin101100011100000…
…101101110001100
31220221220102101100
4230130011232030
53011330422342
6201551543100
724322110102
oct5434055614
91827812340
10745560972
11352938aa2
1218982aa90
13bb602150
1471037c72
15456c1e4c
hex2c705b8c

745560972 has 144 divisors (see below), whose sum is σ = 2085385120. Its totient is φ = 223202304.

The previous prime is 745560967. The next prime is 745560997. The reversal of 745560972 is 279065547.

745560972 is a `hidden beast` number, since 7 + 4 + 556 + 0 + 97 + 2 = 666.

It is a super-2 number, since 2×7455609722 = 1111722325939169568, which contains 22 as substring.

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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4748718 + ... + 4748874.

Almost surely, 2745560972 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 745560972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1042692560).

745560972 is an abundant number, since it is smaller than the sum of its proper divisors (1339824148).

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

745560972 is a wasteful number, since it uses less digits than its factorization.

745560972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The square root of 745560972 is about 27304.9624061268. The cubic root of 745560972 is about 906.7642484961.

The spelling of 745560972 in words is "seven hundred forty-five million, five hundred sixty thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 73 78 117 139 146 156 157 219 234 278 292 314 417 438 468 471 556 628 657 834 876 942 949 1251 1314 1413 1668 1807 1884 1898 2041 2502 2628 2826 2847 3614 3796 4082 5004 5421 5652 5694 6123 7228 8164 8541 10147 10842 11388 11461 12246 16263 17082 18369 20294 21684 21823 22922 24492 30441 32526 34164 34383 36738 40588 43646 45844 60882 65052 65469 68766 73476 87292 91323 103149 121764 130938 131911 137532 148993 182646 196407 206298 261876 263822 283699 297986 365292 392814 395733 412596 446979 527644 567398 595972 785628 791466 851097 893958 1134796 1187199 1340937 1582932 1593079 1702194 1787916 2374398 2553291 2681874 3186158 3404388 4748796 4779237 5106582 5363748 6372316 9558474 10213164 14337711 19116948 20710027 28675422 41420054 57350844 62130081 82840108 124260162 186390243 248520324 372780486 745560972