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70624064 = 267198297
BaseRepresentation
bin1000011010110…
…10001101000000
311220220002000002
410031122031000
5121034432224
611001415132
71515203030
oct415321500
9156802002
1070624064
11369579a5
121b79a4a8
13118298b4
1495458c0
1563009ae
hex435a340

70624064 has 56 divisors (see below), whose sum is σ = 168615360. Its totient is φ = 28670976.

The previous prime is 70624061. The next prime is 70624087. The reversal of 70624064 is 46042607.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70624061) 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, 4364 + ... + 12660.

Almost surely, 270624064 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 70624064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84307680).

70624064 is an abundant number, since it is smaller than the sum of its proper divisors (97991296).

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

70624064 is a wasteful number, since it uses less digits than its factorization.

70624064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8335 (or 8325 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The square root of 70624064 is about 8403.8124681599. The cubic root of 70624064 is about 413.3496444020.

The spelling of 70624064 in words is "seventy million, six hundred twenty-four thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 133 152 224 266 304 448 532 608 1064 1216 2128 4256 8297 8512 16594 33188 58079 66376 116158 132752 157643 232316 265504 315286 464632 531008 630572 929264 1103501 1261144 1858528 2207002 2522288 3717056 4414004 5044576 8828008 10089152 17656016 35312032 70624064