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51493008 = 2437331463
BaseRepresentation
bin1100010001101…
…1100010010000
310120220010010110
43010123202100
5101140234013
65035401320
71163453250
oct304334220
9116803113
1051493008
1127080506
12152b3240
13a88bb48
146ba5960
1547c22c3
hex311b890

51493008 has 80 divisors (see below), whose sum is σ = 152815616. Its totient is φ = 14636160.

The previous prime is 51493003. The next prime is 51493031. The reversal of 51493008 is 80039415.

It is not an unprimeable number, because it can be changed into a prime (51493003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110985 + ... + 111447.

Almost surely, 251493008 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 51493008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76407808).

51493008 is an abundant number, since it is smaller than the sum of its proper divisors (101322608).

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

51493008 is a wasteful number, since it uses less digits than its factorization.

51493008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 51493008 is about 7175.8628749440. The cubic root of 51493008 is about 372.0341048625.

The spelling of 51493008 in words is "fifty-one million, four hundred ninety-three thousand, eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 331 336 463 662 926 993 1324 1389 1852 1986 2317 2648 2778 3241 3704 3972 4634 5296 5556 6482 6951 7408 7944 9268 9723 11112 12964 13902 15888 18536 19446 22224 25928 27804 37072 38892 51856 55608 77784 111216 153253 155568 306506 459759 613012 919518 1072771 1226024 1839036 2145542 2452048 3218313 3678072 4291084 6436626 7356144 8582168 12873252 17164336 25746504 51493008