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57482496 = 283261409
BaseRepresentation
bin1101101101000…
…1110100000000
311000011102011100
43123101310000
5104203414441
65412014400
71265410311
oct333216400
9130142140
1057482496
112a4a14a5
1217301400
13bba8116
1478c4608
1550a6cb6
hex36d1d00

57482496 has 108 divisors (see below), whose sum is σ = 168865060. Its totient is φ = 18800640.

The previous prime is 57482489. The next prime is 57482501. The reversal of 57482496 is 69428475.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 25401600 + 32080896 = 5040^2 + 5664^2 .

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 11 ways as a sum of consecutive naturals, for example, 140340 + ... + 140748.

Almost surely, 257482496 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 57482496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84432530).

57482496 is an abundant number, since it is smaller than the sum of its proper divisors (111382564).

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

57482496 is a wasteful number, since it uses less digits than its factorization.

57482496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 475 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 57482496 is about 7581.7211766195. The cubic root of 57482496 is about 385.9329619501.

The spelling of 57482496 in words is "fifty-seven million, four hundred eighty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 64 72 96 122 128 144 183 192 244 256 288 366 384 409 488 549 576 732 768 818 976 1098 1152 1227 1464 1636 1952 2196 2304 2454 2928 3272 3681 3904 4392 4908 5856 6544 7362 7808 8784 9816 11712 13088 14724 15616 17568 19632 23424 24949 26176 29448 35136 39264 46848 49898 52352 58896 70272 74847 78528 99796 104704 117792 140544 149694 157056 199592 224541 235584 299388 314112 399184 449082 471168 598776 798368 898164 942336 1197552 1596736 1796328 2395104 3193472 3592656 4790208 6386944 7185312 9580416 14370624 19160832 28741248 57482496