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99652096 = 29171072
BaseRepresentation
bin1011111000010…
…01001000000000
320221111211222101
411330021020000
5201002331341
613515520144
72320012615
oct574111000
9227454871
1099652096
1151284105
1229459054
131785134b
14d34050c
158b36831
hex5f09200

99652096 has 60 divisors (see below), whose sum is σ = 212810598. Its totient is φ = 46456832.

The previous prime is 99652087. The next prime is 99652097. The reversal of 99652096 is 69025699.

It can be written as a sum of positive squares in only one way, i.e., 73273600 + 26378496 = 8560^2 + 5136^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99652097) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 931275 + ... + 931381.

Almost surely, 299652096 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 99652096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106405299).

99652096 is an abundant number, since it is smaller than the sum of its proper divisors (113158502).

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

99652096 is an equidigital number, since it uses as much as digits as its factorization.

99652096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 46.

The square root of 99652096 is about 9982.5896439752. The cubic root of 99652096 is about 463.6199821505.

The spelling of 99652096 in words is "ninety-nine million, six hundred fifty-two thousand, ninety-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 107 128 136 214 256 272 428 512 544 856 1088 1712 1819 2176 3424 3638 4352 6848 7276 8704 11449 13696 14552 22898 27392 29104 45796 54784 58208 91592 116416 183184 194633 232832 366368 389266 465664 732736 778532 931328 1465472 1557064 2930944 3114128 5861888 6228256 12456512 24913024 49826048 99652096