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57949152 = 253738269
BaseRepresentation
bin1101110100001…
…1101111100000
311001001010021220
43131003233200
5104313333102
65430015040
71302362652
oct335035740
9131033256
1057949152
112a790068
12174a7480
13c00c651
1479a66d2
15514a1bc
hex3743be0

57949152 has 48 divisors (see below), whose sum is σ = 154218960. Its totient is φ = 19049472.

The previous prime is 57949127. The next prime is 57949153. The reversal of 57949152 is 25194975.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57949153) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2874 + ... + 11142.

It is an arithmetic number, because the mean of its divisors is an integer number (3212895).

Almost surely, 257949152 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 57949152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77109480).

57949152 is an abundant number, since it is smaller than the sum of its proper divisors (96269808).

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

57949152 is a wasteful number, since it uses less digits than its factorization.

57949152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8355 (or 8347 counting only the distinct ones).

The product of its digits is 113400, while the sum is 42.

The square root of 57949152 is about 7612.4340391231. The cubic root of 57949152 is about 386.9745124065.

The spelling of 57949152 in words is "fifty-seven million, nine hundred forty-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 73 96 146 219 292 438 584 876 1168 1752 2336 3504 7008 8269 16538 24807 33076 49614 66152 99228 132304 198456 264608 396912 603637 793824 1207274 1810911 2414548 3621822 4829096 7243644 9658192 14487288 19316384 28974576 57949152