Search a number
-
+
57134976 = 2731941191
BaseRepresentation
bin1101100111110…
…0111110000000
310222111202110020
43121330332000
5104111304401
65400333440
71262432163
oct331747600
9128452406
1057134976
112a284398
1217174280
13bab5ba2
147833ada
155038d36
hex367cf80

57134976 has 128 divisors (see below), whose sum is σ = 164505600. Its totient is φ = 17510400.

The previous prime is 57134971. The next prime is 57135019. The reversal of 57134976 is 67943175.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57134971) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 299041 + ... + 299231.

It is an arithmetic number, because the mean of its divisors is an integer number (1285200).

Almost surely, 257134976 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 57134976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82252800).

57134976 is an abundant number, since it is smaller than the sum of its proper divisors (107370624).

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

57134976 is a wasteful number, since it uses less digits than its factorization.

57134976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 256 counting only the distinct ones).

The product of its digits is 158760, while the sum is 42.

The square root of 57134976 is about 7558.7681536081. The cubic root of 57134976 is about 385.1536486855.

The spelling of 57134976 in words is "fifty-seven million, one hundred thirty-four thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 41 48 57 64 76 82 96 114 123 128 152 164 191 192 228 246 304 328 382 384 456 492 573 608 656 764 779 912 984 1146 1216 1312 1528 1558 1824 1968 2292 2337 2432 2624 3056 3116 3629 3648 3936 4584 4674 5248 6112 6232 7258 7296 7831 7872 9168 9348 10887 12224 12464 14516 15662 15744 18336 18696 21774 23493 24448 24928 29032 31324 36672 37392 43548 46986 49856 58064 62648 73344 74784 87096 93972 99712 116128 125296 148789 149568 174192 187944 232256 250592 297578 299136 348384 375888 446367 464512 501184 595156 696768 751776 892734 1002368 1190312 1393536 1503552 1785468 2380624 3007104 3570936 4761248 7141872 9522496 14283744 19044992 28567488 57134976