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96969728 = 210281337
BaseRepresentation
bin1011100011110…
…10010000000000
320202110120110102
411301322100000
5144311012403
613342221532
72255141402
oct561722000
9222416412
1096969728
114a811879
12285848a8
131712244b
14cc42b72
1587a6b88
hex5c7a400

96969728 has 44 divisors (see below), whose sum is σ = 195111852. Its totient is φ = 48168960.

The previous prime is 96969727. The next prime is 96969731. The reversal of 96969728 is 82796969.

It can be written as a sum of positive squares in 2 ways, for example, as 45589504 + 51380224 = 6752^2 + 7168^2 .

It is not an unprimeable number, because it can be changed into a prime (96969721) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 287576 + ... + 287912.

Almost surely, 296969728 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 96969728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97555926).

96969728 is an abundant number, since it is smaller than the sum of its proper divisors (98142124).

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

96969728 is a wasteful number, since it uses less digits than its factorization.

96969728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 620 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 56.

The square root of 96969728 is about 9847.3208539176. The cubic root of 96969728 is about 459.4222867268.

The spelling of 96969728 in words is "ninety-six million, nine hundred sixty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 281 337 512 562 674 1024 1124 1348 2248 2696 4496 5392 8992 10784 17984 21568 35968 43136 71936 86272 94697 143872 172544 189394 287744 345088 378788 757576 1515152 3030304 6060608 12121216 24242432 48484864 96969728