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57501696 = 211372191
BaseRepresentation
bin1101101101011…
…0100000000000
311000012101111110
43123112200000
5104210023241
65412243320
71265520300
oct333264000
9130171443
1057501696
112a50496a
1217310540
13bbb3a95
1478cb600
1550ac816
hex36d6800

57501696 has 144 divisors (see below), whose sum is σ = 179262720. Its totient is φ = 16343040.

The previous prime is 57501643. The next prime is 57501749. The reversal of 57501696 is 69610575.

It is an interprime number because it is at equal distance from previous prime (57501643) and next prime (57501749).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 300961 + ... + 301151.

It is an arithmetic number, because the mean of its divisors is an integer number (1244880).

Almost surely, 257501696 is an apocalyptic number.

57501696 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57501696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89631360).

57501696 is an abundant number, since it is smaller than the sum of its proper divisors (121761024).

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

57501696 is a wasteful number, since it uses less digits than its factorization.

57501696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 39.

The square root of 57501696 is about 7582.9872741552. The cubic root of 57501696 is about 385.9759262640.

The spelling of 57501696 in words is "fifty-seven million, five hundred one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 191 192 196 224 256 294 336 382 384 392 448 512 573 588 672 764 768 784 896 1024 1146 1176 1337 1344 1528 1536 1568 1792 2048 2292 2352 2674 2688 3056 3072 3136 3584 4011 4584 4704 5348 5376 6112 6144 6272 7168 8022 9168 9359 9408 10696 10752 12224 12544 14336 16044 18336 18718 18816 21392 21504 24448 25088 28077 32088 36672 37436 37632 42784 43008 48896 50176 56154 64176 73344 74872 75264 85568 97792 100352 112308 128352 146688 149744 150528 171136 195584 224616 256704 293376 299488 301056 342272 391168 449232 513408 586752 598976 684544 898464 1026816 1173504 1197952 1369088 1796928 2053632 2395904 2738176 3593856 4107264 4791808 7187712 8214528 9583616 14375424 19167232 28750848 57501696