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57061248 = 273178741
BaseRepresentation
bin1101100110101…
…0111110000000
310222101000022120
43121222332000
5104101424443
65355004240
71262004216
oct331527600
9128330276
1057061248
112a233a62
1217139680
13ba8b46a
147814cb6
155022083
hex366af80

57061248 has 64 divisors (see below), whose sum is σ = 160503120. Its totient is φ = 17899520.

The previous prime is 57061223. The next prime is 57061267. The reversal of 57061248 is 84216075.

57061248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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 7 ways as a sum of consecutive naturals, for example, 2158 + ... + 10898.

Almost surely, 257061248 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 57061248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80251560).

57061248 is an abundant number, since it is smaller than the sum of its proper divisors (103441872).

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

57061248 is a wasteful number, since it uses less digits than its factorization.

57061248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8775 (or 8763 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 57061248 is about 7553.8895941098. The cubic root of 57061248 is about 384.9879076429.

The spelling of 57061248 in words is "fifty-seven million, sixty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 384 408 544 816 1088 1632 2176 3264 6528 8741 17482 26223 34964 52446 69928 104892 139856 148597 209784 279712 297194 419568 445791 559424 594388 839136 891582 1118848 1188776 1678272 1783164 2377552 3356544 3566328 4755104 7132656 9510208 14265312 19020416 28530624 57061248