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57388464 = 24327172197
BaseRepresentation
bin1101101011101…
…0110110110000
310222222122011200
43122322312300
5104142412324
65410011200
71264536210
oct332726660
9128878150
1057388464
112a437891
1217276b00
13bb74393
14789c240
155088ec9
hex36badb0

57388464 has 180 divisors, whose sum is σ = 195974064. Its totient is φ = 15353856.

The previous prime is 57388459. The next prime is 57388469. The reversal of 57388464 is 46488375.

It is an interprime number because it is at equal distance from previous prime (57388459) and next prime (57388469).

Its product of digits (645120) is a multiple of the sum of its prime factors (252).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57388469) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 291214 + ... + 291410.

Almost surely, 257388464 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 57388464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97987032).

57388464 is an abundant number, since it is smaller than the sum of its proper divisors (138585600).

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

57388464 is a wasteful number, since it uses less digits than its factorization.

57388464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 226 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 57388464 is about 7575.5174080719. The cubic root of 57388464 is about 385.7224059431.

It can be divided in two parts, 57 and 388464, that added together give a triangular number (388521 = T881).

The spelling of 57388464 in words is "fifty-seven million, three hundred eighty-eight thousand, four hundred sixty-four".