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96606432 = 2534134761
BaseRepresentation
bin1011100001000…
…01100011100000
320201210010010000
411300201203200
5144212401212
613330340000
72252066256
oct560414340
9221703100
1096606432
114a59392a
122842a600
1317025c90
14cb8a5d6
1587341dc
hex5c218e0

96606432 has 240 divisors, whose sum is σ = 317604672. Its totient is φ = 28615680.

The previous prime is 96606421. The next prime is 96606437. The reversal of 96606432 is 23460669.

96606432 is a `hidden beast` number, since 9 + 6 + 6 + 0 + 643 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96606437) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1583682 + ... + 1583742.

Almost surely, 296606432 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 96606432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158802336).

96606432 is an abundant number, since it is smaller than the sum of its proper divisors (220998240).

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

96606432 is a wasteful number, since it uses less digits than its factorization.

96606432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 96606432 is about 9828.8571054828. The cubic root of 96606432 is about 458.8478285774.

The spelling of 96606432 in words is "ninety-six million, six hundred six thousand, four hundred thirty-two".