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51196896 = 25322359131
BaseRepresentation
bin1100001101001…
…1001111100000
310120100001221100
43003103033200
5101101300041
65025154400
71161111042
oct303231740
9116301840
1051196896
1126998a93
121518ba00
13a7b712a
146b29a92
1547646b6
hex30d33e0

51196896 has 144 divisors (see below), whose sum is σ = 155675520. Its totient is φ = 15924480.

The previous prime is 51196883. The next prime is 51196909. The reversal of 51196896 is 69869115.

It is an interprime number because it is at equal distance from previous prime (51196883) and next prime (51196909).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×511968962 = 5242244320069632, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 390751 + ... + 390881.

It is an arithmetic number, because the mean of its divisors is an integer number (1081080).

Almost surely, 251196896 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 51196896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77837760).

51196896 is an abundant number, since it is smaller than the sum of its proper divisors (104478624).

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

51196896 is a wasteful number, since it uses less digits than its factorization.

51196896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 218 counting only the distinct ones).

The product of its digits is 116640, while the sum is 45.

The square root of 51196896 is about 7155.2006261180. The cubic root of 51196896 is about 371.3196026354.

The spelling of 51196896 in words is "fifty-one million, one hundred ninety-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 59 69 72 92 96 118 131 138 144 177 184 207 236 262 276 288 354 368 393 414 472 524 531 552 708 736 786 828 944 1048 1062 1104 1179 1357 1416 1572 1656 1888 2096 2124 2208 2358 2714 2832 3013 3144 3312 4071 4192 4248 4716 5428 5664 6026 6288 6624 7729 8142 8496 9039 9432 10856 12052 12213 12576 15458 16284 16992 18078 18864 21712 23187 24104 24426 27117 30916 32568 36156 37728 43424 46374 48208 48852 54234 61832 65136 69561 72312 92748 96416 97704 108468 123664 130272 139122 144624 177767 185496 195408 216936 247328 278244 289248 355534 370992 390816 433872 533301 556488 711068 741984 867744 1066602 1112976 1422136 1599903 2133204 2225952 2844272 3199806 4266408 5688544 6399612 8532816 12799224 17065632 25598448 51196896