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72944964 = 22322026249
BaseRepresentation
bin1000101100100…
…00110101000100
312002020222200100
410112100311010
5122133214324
611123244100
71544010351
oct426206504
9162228610
1072944964
11381a26a4
1220519630
1312160101
14998b628
15660d4c9
hex4590d44

72944964 has 18 divisors (see below), whose sum is σ = 184388750. Its totient is φ = 24314976.

The previous prime is 72944957. The next prime is 72944981. The reversal of 72944964 is 46944927.

72944964 is a `hidden beast` number, since 72 + 94 + 496 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 48024900 + 24920064 = 6930^2 + 4992^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×729449642 = 10641935545922592, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1013089 + ... + 1013160.

Almost surely, 272944964 is an apocalyptic number.

It is an amenable number.

72944964 is an abundant number, since it is smaller than the sum of its proper divisors (111443786).

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

72944964 is a wasteful number, since it uses less digits than its factorization.

72944964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2026259 (or 2026254 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 72944964 is about 8540.7823997571. The cubic root of 72944964 is about 417.8288639577.

The spelling of 72944964 in words is "seventy-two million, nine hundred forty-four thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 2026249 4052498 6078747 8104996 12157494 18236241 24314988 36472482 72944964