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57476340 = 22325319313
BaseRepresentation
bin1101101101000…
…0010011110100
311000011002201100
43123100103310
5104203220330
65411530100
71265353335
oct333202364
9130132640
1057476340
112a497909
12172b9930
13bba538c
1478c228c
1550a5060
hex36d04f4

57476340 has 36 divisors (see below), whose sum is σ = 174345444. Its totient is φ = 15326976.

The previous prime is 57476329. The next prime is 57476401. The reversal of 57476340 is 4367475.

57476340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 6411024 + 51065316 = 2532^2 + 7146^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 57476295 and 57476304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 159477 + ... + 159836.

It is an arithmetic number, because the mean of its divisors is an integer number (4842929).

Almost surely, 257476340 is an apocalyptic number.

It is an amenable number.

57476340 is an abundant number, since it is smaller than the sum of its proper divisors (116869104).

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

57476340 is a wasteful number, since it uses less digits than its factorization.

57476340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319328 (or 319323 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 57476340 is about 7581.3151893323. The cubic root of 57476340 is about 385.9191844914.

The spelling of 57476340 in words is "fifty-seven million, four hundred seventy-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 319313 638626 957939 1277252 1596565 1915878 2873817 3193130 3831756 4789695 5747634 6386260 9579390 11495268 14369085 19158780 28738170 57476340