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716966272 = 27112711879
BaseRepresentation
bin101010101111000…
…000100110000000
31211222002122211101
4222233000212000
52432020410042
6155051024144
723524053451
oct5257004600
91758078741
10716966272
11338788410
1218013b054
13b56cc9c9
146b313128
1542e246b7
hex2abc0980

716966272 has 64 divisors (see below), whose sum is σ = 1564761600. Its totient is φ = 324518400.

The previous prime is 716966269. The next prime is 716966293. The reversal of 716966272 is 272669617.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 380629 + ... + 382507.

It is an arithmetic number, because the mean of its divisors is an integer number (24449400).

Almost surely, 2716966272 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 716966272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782380800).

716966272 is an abundant number, since it is smaller than the sum of its proper divisors (847795328).

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

716966272 is a wasteful number, since it uses less digits than its factorization.

716966272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2175 (or 2163 counting only the distinct ones).

The product of its digits is 381024, while the sum is 46.

The square root of 716966272 is about 26776.2258729642. The cubic root of 716966272 is about 895.0203472170.

It can be divided in two parts, 7169 and 66272, that added together give a square (73441 = 2712).

The spelling of 716966272 in words is "seven hundred sixteen million, nine hundred sixty-six thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 271 352 542 704 1084 1408 1879 2168 2981 3758 4336 5962 7516 8672 11924 15032 17344 20669 23848 30064 34688 41338 47696 60128 82676 95392 120256 165352 190784 240512 330704 381568 509209 661408 1018418 1322816 2036836 2645632 4073672 5601299 8147344 11202598 16294688 22405196 32589376 44810392 65178752 89620784 179241568 358483136 716966272