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96451632 = 24321315113
BaseRepresentation
bin1011011111110…
…11110000110000
320201111020202200
411233323300300
5144142423012
613323143200
72250553044
oct557736060
9221436680
1096451632
114a4985a2
1228374b00
1316ca0694
14cb4a024
1587033dc
hex5bfbc30

96451632 has 60 divisors (see below), whose sum is σ = 272044344. Its totient is φ = 31898880.

The previous prime is 96451613. The next prime is 96451643. The reversal of 96451632 is 23615469.

It is a happy number.

96451632 is a `hidden beast` number, since 9 + 645 + 1 + 6 + 3 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16308 + ... + 21420.

Almost surely, 296451632 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 96451632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136022172).

96451632 is an abundant number, since it is smaller than the sum of its proper divisors (175592712).

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

96451632 is a wasteful number, since it uses less digits than its factorization.

96451632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5258 (or 5249 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 96451632 is about 9820.9791772511. The cubic root of 96451632 is about 458.6026150342.

The spelling of 96451632 in words is "ninety-six million, four hundred fifty-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 131 144 262 393 524 786 1048 1179 1572 2096 2358 3144 4716 5113 6288 9432 10226 15339 18864 20452 30678 40904 46017 61356 81808 92034 122712 184068 245424 368136 669803 736272 1339606 2009409 2679212 4018818 5358424 6028227 8037636 10716848 12056454 16075272 24112908 32150544 48225816 96451632