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70312992 = 2536112007
BaseRepresentation
bin1000011000011…
…10010000100000
311220022021021220
410030032100200
5121000003432
610551015040
71512436101
oct414162040
9156267256
1070312992
1136765212
121b66a480
131174b129
1494a43a8
15628d72c
hex430e420

70312992 has 48 divisors (see below), whose sum is σ = 187612992. Its totient is φ = 23051520.

The previous prime is 70312981. The next prime is 70312993. The reversal of 70312992 is 29921307.

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

It is not an unprimeable number, because it can be changed into a prime (70312993) 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, 148 + ... + 11859.

It is an arithmetic number, because the mean of its divisors is an integer number (3908604).

Almost surely, 270312992 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 70312992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93806496).

70312992 is an abundant number, since it is smaller than the sum of its proper divisors (117300000).

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

70312992 is a wasteful number, since it uses less digits than its factorization.

70312992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12081 (or 12073 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 70312992 is about 8385.2842527848. The cubic root of 70312992 is about 412.7418688048.

It can be divided in two parts, 703 and 12992, that added together give a triangular number (13695 = T165).

The spelling of 70312992 in words is "seventy million, three hundred twelve thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 96 122 183 244 366 488 732 976 1464 1952 2928 5856 12007 24014 36021 48028 72042 96056 144084 192112 288168 384224 576336 732427 1152672 1464854 2197281 2929708 4394562 5859416 8789124 11718832 17578248 23437664 35156496 70312992