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95016492 = 223219532621
BaseRepresentation
bin1011010100111…
…01011000101100
320121210100010100
411222131120230
5143311011432
613232311100
72232425004
oct552353054
9217710110
1095016492
11496a832a
12279a2490
13168ba39c
14c895004
15851d07c
hex5a9d62c

95016492 has 72 divisors (see below), whose sum is σ = 257690160. Its totient is φ = 29427840.

The previous prime is 95016463. The next prime is 95016533. The reversal of 95016492 is 29461059.

95016492 is a `hidden beast` number, since 9 + 5 + 0 + 1 + 649 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34942 + ... + 37562.

It is an arithmetic number, because the mean of its divisors is an integer number (3579030).

Almost surely, 295016492 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 95016492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128845080).

95016492 is an abundant number, since it is smaller than the sum of its proper divisors (162673668).

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

95016492 is a wasteful number, since it uses less digits than its factorization.

95016492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2703 (or 2698 counting only the distinct ones).

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

The square root of 95016492 is about 9747.6403298439. The cubic root of 95016492 is about 456.3166660075.

The spelling of 95016492 in words is "ninety-five million, sixteen thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 53 57 76 106 114 159 171 212 228 318 342 477 636 684 954 1007 1908 2014 2621 3021 4028 5242 6042 7863 9063 10484 12084 15726 18126 23589 31452 36252 47178 49799 94356 99598 138913 149397 199196 277826 298794 416739 448191 555652 597588 833478 896382 1250217 1666956 1792764 2500434 2639347 5000868 5278694 7918041 10557388 15836082 23754123 31672164 47508246 95016492