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42316896 = 253538317
BaseRepresentation
bin1010000101101…
…1010001100000
32221121220212110
42201123101200
541313120041
64110555320
71022454606
oct241332140
987556773
1042316896
1121983346
1212208b40
1389c82ab
145897876
153aad516
hex285b460

42316896 has 48 divisors (see below), whose sum is σ = 113191344. Its totient is φ = 13837824.

The previous prime is 42316889. The next prime is 42316907. The reversal of 42316896 is 69861324.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×423168963 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

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, 930 + ... + 9246.

It is an arithmetic number, because the mean of its divisors is an integer number (2358153).

Almost surely, 242316896 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 42316896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56595672).

42316896 is an abundant number, since it is smaller than the sum of its proper divisors (70874448).

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

42316896 is a wasteful number, since it uses less digits than its factorization.

42316896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8383 (or 8375 counting only the distinct ones).

The product of its digits is 62208, while the sum is 39.

The square root of 42316896 is about 6505.1438108623. The cubic root of 42316896 is about 348.4747121645.

The spelling of 42316896 in words is "forty-two million, three hundred sixteen thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 212 318 424 636 848 1272 1696 2544 5088 8317 16634 24951 33268 49902 66536 99804 133072 199608 266144 399216 440801 798432 881602 1322403 1763204 2644806 3526408 5289612 7052816 10579224 14105632 21158448 42316896