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472622592 = 2931323669
BaseRepresentation
bin11100001010111…
…010011000000000
31012221022201022110
4130022322120000
51431442410332
6114521535320
714466140301
oct3412723000
91187281273
10472622592
11222868392
12112344540
1376bbaa50
1446aaa7a8
152b75b4cc
hex1c2ba600

472622592 has 80 divisors (see below), whose sum is σ = 1356006960. Its totient is φ = 145416192.

The previous prime is 472622581. The next prime is 472622603. The reversal of 472622592 is 295226274.

It is an interprime number because it is at equal distance from previous prime (472622581) and next prime (472622603).

It is a super-2 number, since 2×4726225922 = 446744228937596928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 472622592.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8134 + ... + 31802.

It is an arithmetic number, because the mean of its divisors is an integer number (16950087).

Almost surely, 2472622592 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 472622592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678003480).

472622592 is an abundant number, since it is smaller than the sum of its proper divisors (883384368).

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

472622592 is a wasteful number, since it uses less digits than its factorization.

472622592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23703 (or 23687 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 472622592 is about 21739.8848203021. The cubic root of 472622592 is about 778.9414701128.

The spelling of 472622592 in words is "four hundred seventy-two million, six hundred twenty-two thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1248 1536 1664 2496 3328 4992 6656 9984 19968 23669 47338 71007 94676 142014 189352 284028 307697 378704 568056 615394 757408 923091 1136112 1230788 1514816 1846182 2272224 2461576 3029632 3692364 4544448 4923152 6059264 7384728 9088896 9846304 12118528 14769456 18177792 19692608 29538912 36355584 39385216 59077824 78770432 118155648 157540864 236311296 472622592