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57412944 = 24321747499
BaseRepresentation
bin1101101100000…
…0110101010000
311000000212202100
43123000311100
5104144203234
65410320400
71265000451
oct333006520
9130025670
1057412944
112a454216
1217289100
13bb82574
1478a7128
155091399
hex36c0d50

57412944 has 120 divisors (see below), whose sum is σ = 174096000. Its totient is φ = 17593344.

The previous prime is 57412931. The next prime is 57412951. The reversal of 57412944 is 44921475.

It is a happy number.

It is a super-2 number, since 2×574129442 = 6592492277494272, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 57412899 and 57412908.

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 23 ways as a sum of consecutive naturals, for example, 114807 + ... + 115305.

It is an arithmetic number, because the mean of its divisors is an integer number (1450800).

Almost surely, 257412944 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 57412944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87048000).

57412944 is an abundant number, since it is smaller than the sum of its proper divisors (116683056).

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

57412944 is a wasteful number, since it uses less digits than its factorization.

57412944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 568 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 57412944 is about 7577.1329670265. The cubic root of 57412944 is about 385.7772435739. Note that the first 3 decimals are identical.

The spelling of 57412944 in words is "fifty-seven million, four hundred twelve thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 47 48 51 68 72 94 102 136 141 144 153 188 204 272 282 306 376 408 423 499 564 612 752 799 816 846 998 1128 1224 1497 1598 1692 1996 2256 2397 2448 2994 3196 3384 3992 4491 4794 5988 6392 6768 7191 7984 8483 8982 9588 11976 12784 14382 16966 17964 19176 23453 23952 25449 28764 33932 35928 38352 46906 50898 57528 67864 70359 71856 76347 93812 101796 115056 135728 140718 152694 187624 203592 211077 281436 305388 375248 398701 407184 422154 562872 610776 797402 844308 1125744 1196103 1221552 1594804 1688616 2392206 3189608 3377232 3588309 4784412 6379216 7176618 9568824 14353236 19137648 28706472 57412944