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96499152 = 24323132141
BaseRepresentation
bin1011100000001…
…11010111010000
320201120122221200
411300013113100
5144200433102
613324151200
72251141431
oct560072720
9221518850
1096499152
114a520272
1228398500
1316cb91b9
14cb5d488
15871251c
hex5c075d0

96499152 has 60 divisors (see below), whose sum is σ = 271052964. Its totient is φ = 32048640.

The previous prime is 96499129. The next prime is 96499159. The reversal of 96499152 is 25199469.

96499152 is a `hidden beast` number, since 9 + 6 + 499 + 152 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 41679936 + 54819216 = 6456^2 + 7404^2 .

It is a junction number, because it is equal to n+sod(n) for n = 96499098 and 96499107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96499159) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44002 + ... + 46142.

Almost surely, 296499152 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 96499152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135526482).

96499152 is an abundant number, since it is smaller than the sum of its proper divisors (174553812).

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

96499152 is a wasteful number, since it uses less digits than its factorization.

96499152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2468 (or 2459 counting only the distinct ones).

The product of its digits is 174960, while the sum is 45.

The square root of 96499152 is about 9823.3981900359. The cubic root of 96499152 is about 458.6779177803.

The spelling of 96499152 in words is "ninety-six million, four hundred ninety-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 313 626 939 1252 1878 2141 2504 2817 3756 4282 5008 5634 6423 7512 8564 11268 12846 15024 17128 19269 22536 25692 34256 38538 45072 51384 77076 102768 154152 308304 670133 1340266 2010399 2680532 4020798 5361064 6031197 8041596 10722128 12062394 16083192 24124788 32166384 48249576 96499152