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42645096 = 23331315187
BaseRepresentation
bin1010001010101…
…1011001101000
32222020121002000
42202223121220
541404120341
64122011000
71025322504
oct242533150
988217060
1042645096
112208798a
1212346a60
138ab17b0
145941304
153b258b6
hex28ab668

42645096 has 64 divisors (see below), whose sum is σ = 127579200. Its totient is φ = 13120704.

The previous prime is 42645091. The next prime is 42645107. The reversal of 42645096 is 69054624.

42645096 is a `hidden beast` number, since 4 + 2 + 645 + 0 + 9 + 6 = 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 42645096.

It is not an unprimeable number, because it can be changed into a prime (42645091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4786 + ... + 10401.

It is an arithmetic number, because the mean of its divisors is an integer number (1993425).

Almost surely, 242645096 is an apocalyptic number.

It is an amenable number.

42645096 is an abundant number, since it is smaller than the sum of its proper divisors (84934104).

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

42645096 is a wasteful number, since it uses less digits than its factorization.

42645096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15215 (or 15205 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 42645096 is about 6530.3212784671. The cubic root of 42645096 is about 349.3732893650.

The spelling of 42645096 in words is "forty-two million, six hundred forty-five thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 2808 15187 30374 45561 60748 91122 121496 136683 182244 197431 273366 364488 394862 410049 546732 592293 789724 820098 1093464 1184586 1579448 1640196 1776879 2369172 3280392 3553758 4738344 5330637 7107516 10661274 14215032 21322548 42645096