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57842704 = 2417297333
BaseRepresentation
bin1101110010100…
…1110000010000
311000211201021101
43130221300100
5104301431304
65423434144
71301440423
oct334516020
9130751241
1057842704
112a718097
1217455954
13bca306a
1479799ba
1551288a4
hex3729c10

57842704 has 40 divisors (see below), whose sum is σ = 122771160. Its totient is φ = 26277888.

The previous prime is 57842693. The next prime is 57842731. The reversal of 57842704 is 40724875.

It can be written as a sum of positive squares in 4 ways, for example, as 2310400 + 55532304 = 1520^2 + 7452^2 .

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

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 7 ways as a sum of consecutive naturals, for example, 4222 + ... + 11554.

It is an arithmetic number, because the mean of its divisors is an integer number (3069279).

Almost surely, 257842704 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 57842704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61385580).

57842704 is an abundant number, since it is smaller than the sum of its proper divisors (64928456).

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

57842704 is a wasteful number, since it uses less digits than its factorization.

57842704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7387 (or 7381 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 37.

The square root of 57842704 is about 7605.4391063238. The cubic root of 57842704 is about 386.7374200028.

The spelling of 57842704 in words is "fifty-seven million, eight hundred forty-two thousand, seven hundred four".

Divisors: 1 2 4 8 16 17 29 34 58 68 116 136 232 272 464 493 986 1972 3944 7333 7888 14666 29332 58664 117328 124661 212657 249322 425314 498644 850628 997288 1701256 1994576 3402512 3615169 7230338 14460676 28921352 57842704