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96052176 = 243311172941
BaseRepresentation
bin1011011100110…
…10001111010000
320200201221211000
411232122033100
5144042132201
613310422000
72244300333
oct556321720
9220657730
1096052176
114a245470
1228201900
1316b9090c
14ca8461a
158674d86
hex5b9a3d0

96052176 has 320 divisors, whose sum is σ = 337478400. Its totient is φ = 25804800.

The previous prime is 96052171. The next prime is 96052183. The reversal of 96052176 is 67125069.

96052176 is a `hidden beast` number, since 9 + 60 + 521 + 76 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 96052176.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96052171) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2342716 + ... + 2342756.

It is an arithmetic number, because the mean of its divisors is an integer number (1054620).

Almost surely, 296052176 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 96052176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168739200).

96052176 is an abundant number, since it is smaller than the sum of its proper divisors (241426224).

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

96052176 is a wasteful number, since it uses less digits than its factorization.

96052176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 96052176 is about 9800.6212048013. The cubic root of 96052176 is about 457.9686356229.

It can be divided in two parts, 9605 and 2176, that added together give a triangular number (11781 = T153).

The spelling of 96052176 in words is "ninety-six million, fifty-two thousand, one hundred seventy-six".