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57378828 = 223131033571
BaseRepresentation
bin1101101011100…
…0100000001100
310222222010221210
43122320200030
5104142110303
65405454420
71264466133
oct332704014
9128863853
1057378828
112a430621
1217271410
13bb6cb90
14789891a
155086203
hex36b880c

57378828 has 48 divisors (see below), whose sum is σ = 145623296. Its totient is φ = 17478720.

The previous prime is 57378821. The next prime is 57378829. The reversal of 57378828 is 82887375.

57378828 is a nontrivial binomial coefficient, being equal to C(10713, 2).

It is not an unprimeable number, because it can be changed into a prime (57378821) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 14283 + ... + 17853.

Almost surely, 257378828 is an apocalyptic number.

57378828 is the 10712-nd triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57378828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72811648).

57378828 is an abundant number, since it is smaller than the sum of its proper divisors (88244468).

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

57378828 is a wasteful number, since it uses less digits than its factorization.

57378828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3694 (or 3692 counting only the distinct ones).

The product of its digits is 752640, while the sum is 48.

The square root of 57378828 is about 7574.8813852099. The cubic root of 57378828 is about 385.7008160689.

It can be divided in two parts, 573 and 78828, that added together give a triangular number (79401 = T398).

The spelling of 57378828 in words is "fifty-seven million, three hundred seventy-eight thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 103 156 206 309 412 618 1236 1339 2678 3571 4017 5356 7142 8034 10713 14284 16068 21426 42852 46423 92846 139269 185692 278538 367813 557076 735626 1103439 1471252 2206878 4413756 4781569 9563138 14344707 19126276 28689414 57378828