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95670432 = 2532111323101
BaseRepresentation
bin1011011001111…
…01000010100000
320200000120011100
411230331002200
5143442423212
613254314400
72241120354
oct554750240
9220016140
1095670432
114a004680
1228058a00
1316a88c30
14c9c5464
1585ebbdc
hex5b3d0a0

95670432 has 288 divisors, whose sum is σ = 336825216. Its totient is φ = 25344000.

The previous prime is 95670403. The next prime is 95670457. The reversal of 95670432 is 23407659.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 947182 + ... + 947282.

It is an arithmetic number, because the mean of its divisors is an integer number (1169532).

Almost surely, 295670432 is an apocalyptic number.

95670432 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95670432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168412608).

95670432 is an abundant number, since it is smaller than the sum of its proper divisors (241154784).

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

95670432 is a wasteful number, since it uses less digits than its factorization.

95670432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 95670432 is about 9781.1263155119. The cubic root of 95670432 is about 457.3611224084.

The spelling of 95670432 in words is "ninety-five million, six hundred seventy thousand, four hundred thirty-two".