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57694464 = 283317491
BaseRepresentation
bin1101110000010…
…1100100000000
311000120011221000
43130011210000
5104232210324
65420332000
71300252302
oct334054400
9130504830
1057694464
112a626783
12173a4000
13bc50749
14793b972
1550e99c9
hex3705900

57694464 has 144 divisors (see below), whose sum is σ = 181016640. Its totient is φ = 18063360.

The previous prime is 57694457. The next prime is 57694477. The reversal of 57694464 is 46449675.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117259 + ... + 117749.

It is an arithmetic number, because the mean of its divisors is an integer number (1257060).

Almost surely, 257694464 is an apocalyptic number.

57694464 is a gapful number since it is divisible by the number (54) 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 57694464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90508320).

57694464 is an abundant number, since it is smaller than the sum of its proper divisors (123322176).

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

57694464 is a wasteful number, since it uses less digits than its factorization.

57694464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 513 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 57694464 is about 7595.6871973509. The cubic root of 57694464 is about 386.4067588803.

The spelling of 57694464 in words is "fifty-seven million, six hundred ninety-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 128 136 144 153 192 204 216 256 272 288 306 384 408 432 459 491 544 576 612 768 816 864 918 982 1088 1152 1224 1473 1632 1728 1836 1964 2176 2304 2448 2946 3264 3456 3672 3928 4352 4419 4896 5892 6528 6912 7344 7856 8347 8838 9792 11784 13056 13257 14688 15712 16694 17676 19584 23568 25041 26514 29376 31424 33388 35352 39168 47136 50082 53028 58752 62848 66776 70704 75123 94272 100164 106056 117504 125696 133552 141408 150246 188544 200328 212112 225369 267104 282816 300492 377088 400656 424224 450738 534208 565632 600984 801312 848448 901476 1068416 1131264 1201968 1602624 1696896 1802952 2136832 2403936 3205248 3393792 3605904 4807872 6410496 7211808 9615744 14423616 19231488 28847232 57694464