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95192064 = 2103311313
BaseRepresentation
bin1011010110010…
…00010000000000
320122010020222000
411223020100000
5143332121224
613240144000
72234055612
oct553102000
9218106860
1095192064
1149808230
1227a68000
131694c286
14c8dcdb2
1585550c9
hex5ac8400

95192064 has 176 divisors, whose sum is σ = 308523840. Its totient is φ = 28753920.

The previous prime is 95192057. The next prime is 95192107. The reversal of 95192064 is 46029159.

It is a tau number, because it is divible by the number of its divisors (176).

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 15 ways as a sum of consecutive naturals, for example, 303972 + ... + 304284.

Almost surely, 295192064 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 95192064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154261920).

95192064 is an abundant number, since it is smaller than the sum of its proper divisors (213331776).

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

95192064 is a wasteful number, since it uses less digits than its factorization.

95192064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 95192064 is about 9756.6420452941. The cubic root of 95192064 is about 456.5975545567.

The spelling of 95192064 in words is "ninety-five million, one hundred ninety-two thousand, sixty-four".