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57974016 = 2831929137
BaseRepresentation
bin1101110100100…
…1110100000000
311001002101101210
43131021310000
5104320132031
65430330120
71302525312
oct335116400
9131071353
1057974016
112a7a7811
12174b9940
13c01aa69
1479b17b2
155152746
hex3749d00

57974016 has 144 divisors (see below), whose sum is σ = 169243200. Its totient is φ = 17547264.

The previous prime is 57974011. The next prime is 57974017. The reversal of 57974016 is 61047975.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57974011) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 423100 + ... + 423236.

It is an arithmetic number, because the mean of its divisors is an integer number (1175300).

Almost surely, 257974016 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 57974016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84621600).

57974016 is an abundant number, since it is smaller than the sum of its proper divisors (111269184).

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

57974016 is a wasteful number, since it uses less digits than its factorization.

57974016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 39.

The square root of 57974016 is about 7614.0669815809. The cubic root of 57974016 is about 387.0298503372.

It can be divided in two parts, 5 and 7974016, that added together give a triangular number (7974021 = T3993).

The spelling of 57974016 in words is "fifty-seven million, nine hundred seventy-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 29 32 38 48 57 58 64 76 87 96 114 116 128 137 152 174 192 228 232 256 274 304 348 384 411 456 464 548 551 608 696 768 822 912 928 1096 1102 1216 1392 1644 1653 1824 1856 2192 2204 2432 2603 2784 3288 3306 3648 3712 3973 4384 4408 4864 5206 5568 6576 6612 7296 7424 7809 7946 8768 8816 10412 11136 11919 13152 13224 14592 15618 15892 17536 17632 20824 22272 23838 26304 26448 31236 31784 35072 35264 41648 47676 52608 52896 62472 63568 70528 75487 83296 95352 105216 105792 124944 127136 141056 150974 166592 190704 211584 226461 249888 254272 301948 333184 381408 423168 452922 499776 508544 603896 666368 762816 905844 999552 1017088 1207792 1525632 1811688 1999104 2415584 3051264 3623376 4831168 7246752 9662336 14493504 19324672 28987008 57974016