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42659424 = 2532148123
BaseRepresentation
bin1010001010111…
…0111001100000
32222021022201200
42202232321200
541410100144
64122201200
71025412333
oct242567140
988238650
1042659424
1122097725
1212353200
138ab8182
14594661a
153b29c69
hex28aee60

42659424 has 36 divisors (see below), whose sum is σ = 121313556. Its totient is φ = 14219712.

The previous prime is 42659413. The next prime is 42659479. The reversal of 42659424 is 42495624.

42659424 is a `hidden beast` number, since 42 + 6 + 594 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 73774 + ... + 74349.

It is an arithmetic number, because the mean of its divisors is an integer number (3369821).

Almost surely, 242659424 is an apocalyptic number.

It is an amenable number.

42659424 is an abundant number, since it is smaller than the sum of its proper divisors (78654132).

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

42659424 is a wasteful number, since it uses less digits than its factorization.

42659424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148139 (or 148128 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 42659424 is about 6531.4182227140. The cubic root of 42659424 is about 349.4124127378.

It can be divided in two parts, 4265 and 9424, that added together give a square (13689 = 1172).

The spelling of 42659424 in words is "forty-two million, six hundred fifty-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 148123 296246 444369 592492 888738 1184984 1333107 1777476 2369968 2666214 3554952 4739936 5332428 7109904 10664856 14219808 21329712 42659424