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42502572 = 22327227743
BaseRepresentation
bin1010001000100…
…0100110101100
32221222100120100
42202020212230
541340040242
64114551100
71024160130
oct242104654
987870510
1042502572
1121a9a8a2
1212298490
138a61968
1459053c0
153ae854c
hex28889ac

42502572 has 72 divisors (see below), whose sum is σ = 123492096. Its totient is φ = 12073824.

The previous prime is 42502561. The next prime is 42502591. The reversal of 42502572 is 27520524.

42502572 is a `hidden beast` number, since 42 + 50 + 2 + 572 = 666.

It is a plaindrome in base 16.

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, 56833 + ... + 57575.

It is an arithmetic number, because the mean of its divisors is an integer number (1715168).

Almost surely, 242502572 is an apocalyptic number.

42502572 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42502572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61746048).

42502572 is an abundant number, since it is smaller than the sum of its proper divisors (80989524).

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

42502572 is a wasteful number, since it uses less digits than its factorization.

42502572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 42502572 is about 6519.3996656134. The cubic root of 42502572 is about 348.9836419511.

The spelling of 42502572 in words is "forty-two million, five hundred two thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 227 252 454 681 743 908 1362 1486 1589 2043 2229 2724 2972 3178 4086 4458 4767 5201 6356 6687 8172 8916 9534 10402 13374 14301 15603 19068 20804 26748 28602 31206 46809 57204 62412 93618 168661 187236 337322 505983 674644 1011966 1180627 1517949 2023932 2361254 3035898 3541881 4722508 6071796 7083762 10625643 14167524 21251286 42502572