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87073344 = 2632151169
BaseRepresentation
bin1010011000010…
…10001001000000
320001211210011200
411030022021000
5134242321334
612350141200
72105053101
oct514121100
9201753150
1087073344
1145172546
12251b1800
1315068ab7
14b7c83a8
15799e799
hex530a240

87073344 has 42 divisors (see below), whose sum is σ = 249581670. Its totient is φ = 29024256.

The previous prime is 87073307. The next prime is 87073351. The reversal of 87073344 is 44337078.

It can be written as a sum of positive squares in only one way, i.e., 86713344 + 360000 = 9312^2 + 600^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 87073299 and 87073308.

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, 75009 + ... + 76160.

Almost surely, 287073344 is an apocalyptic number.

It is an amenable number.

87073344 is an abundant number, since it is smaller than the sum of its proper divisors (162508326).

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

87073344 is a wasteful number, since it uses less digits than its factorization.

87073344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151187 (or 151174 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 87073344 is about 9331.3098758963. The cubic root of 87073344 is about 443.2292447262.

The spelling of 87073344 in words is "eighty-seven million, seventy-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 151169 302338 453507 604676 907014 1209352 1360521 1814028 2418704 2721042 3628056 4837408 5442084 7256112 9674816 10884168 14512224 21768336 29024448 43536672 87073344