Search a number
-
+
57465696 = 253718431
BaseRepresentation
bin1101101100110…
…1101101100000
311000010120010010
43123031231200
5104202400241
65411404520
71265310321
oct333155540
9130116103
1057465696
112a48a912
12172b3740
13bba0592
1478bc448
1550a1d16
hex36cdb60

57465696 has 48 divisors (see below), whose sum is σ = 152990208. Its totient is φ = 18883200.

The previous prime is 57465689. The next prime is 57465701. The reversal of 57465696 is 69656475.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2601 + ... + 11031.

It is an arithmetic number, because the mean of its divisors is an integer number (3187296).

Almost surely, 257465696 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 57465696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76495104).

57465696 is an abundant number, since it is smaller than the sum of its proper divisors (95524512).

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

57465696 is a wasteful number, since it uses less digits than its factorization.

57465696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8515 (or 8507 counting only the distinct ones).

The product of its digits is 1360800, while the sum is 48.

The square root of 57465696 is about 7580.6131678117. The cubic root of 57465696 is about 385.8953603266.

The spelling of 57465696 in words is "fifty-seven million, four hundred sixty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 142 213 284 426 568 852 1136 1704 2272 3408 6816 8431 16862 25293 33724 50586 67448 101172 134896 202344 269792 404688 598601 809376 1197202 1795803 2394404 3591606 4788808 7183212 9577616 14366424 19155232 28732848 57465696