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57398640 = 24351318397
BaseRepresentation
bin1101101011110…
…1010101110000
311000000011010120
43122331111300
5104143224030
65410130240
71264610655
oct332752560
9130004116
1057398640
112a4444a2
1217280980
13bb78bc0
1478a1c2c
15508c010
hex36bd570

57398640 has 80 divisors (see below), whose sum is σ = 191633568. Its totient is φ = 14128128.

The previous prime is 57398611. The next prime is 57398641. The reversal of 57398640 is 4689375.

It is a happy number.

57398640 is nontrivially palindromic in base 11.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 57398592 and 57398601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57398641) 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, 6079 + ... + 12318.

Almost surely, 257398640 is an apocalyptic number.

It is an amenable number.

57398640 is an abundant number, since it is smaller than the sum of its proper divisors (134234928).

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

57398640 is a wasteful number, since it uses less digits than its factorization.

57398640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18426 (or 18420 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 57398640 is about 7576.1890155935. The cubic root of 57398640 is about 385.7452030871.

The spelling of 57398640 in words is "fifty-seven million, three hundred ninety-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 18397 36794 55191 73588 91985 110382 147176 183970 220764 239161 275955 294352 367940 441528 478322 551910 717483 735880 883056 956644 1103820 1195805 1434966 1471760 1913288 2207640 2391610 2869932 3587415 3826576 4415280 4783220 5739864 7174830 9566440 11479728 14349660 19132880 28699320 57398640