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95478016 = 283153227
BaseRepresentation
bin1011011000011…
…10000100000000
320122122210012211
411230032010000
5143420244031
613250231504
72236356364
oct554160400
9218583184
1095478016
1149993057
1227b85594
1316a1c48a
14c9752a4
1585aebb1
hex5b0e100

95478016 has 72 divisors (see below), whose sum is σ = 201325824. Its totient is φ = 45127680.

The previous prime is 95477999. The next prime is 95478023. The reversal of 95478016 is 61087459.

It is a self number, because there is not a number n which added to its sum of digits gives 95478016.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 420495 + ... + 420721.

It is an arithmetic number, because the mean of its divisors is an integer number (2796192).

Almost surely, 295478016 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 95478016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100662912).

95478016 is an abundant number, since it is smaller than the sum of its proper divisors (105847808).

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

95478016 is a wasteful number, since it uses less digits than its factorization.

95478016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 95478016 is about 9771.2852788157. The cubic root of 95478016 is about 457.0542959396.

The spelling of 95478016 in words is "ninety-five million, four hundred seventy-eight thousand, sixteen".

Divisors: 1 2 4 8 16 31 32 53 62 64 106 124 128 212 227 248 256 424 454 496 848 908 992 1643 1696 1816 1984 3286 3392 3632 3968 6572 6784 7037 7264 7936 12031 13144 13568 14074 14528 24062 26288 28148 29056 48124 52576 56296 58112 96248 105152 112592 192496 210304 225184 372961 384992 420608 450368 745922 769984 900736 1491844 1539968 1801472 2983688 3079936 5967376 11934752 23869504 47739008 95478016