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42648408 = 23321153849
BaseRepresentation
bin1010001010110…
…0001101011000
32222020202121200
42202230031120
541404222113
64122034200
71025335245
oct242541530
988222550
1042648408
112208a420
1212348960
138ab315a
1459425cc
153b26873
hex28ac358

42648408 has 48 divisors (see below), whose sum is σ = 126009000. Its totient is φ = 12923520.

The previous prime is 42648377. The next prime is 42648409. The reversal of 42648408 is 80484624.

42648408 is a `hidden beast` number, since 4 + 2 + 648 + 4 + 0 + 8 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42648409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26133 + ... + 27716.

Almost surely, 242648408 is an apocalyptic number.

It is an amenable number.

42648408 is an abundant number, since it is smaller than the sum of its proper divisors (83360592).

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

42648408 is a wasteful number, since it uses less digits than its factorization.

42648408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53872 (or 53865 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 42648408 is about 6530.5748598420. The cubic root of 42648408 is about 349.3823337373.

The spelling of 42648408 in words is "forty-two million, six hundred forty-eight thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 53849 107698 161547 215396 323094 430792 484641 592339 646188 969282 1184678 1292376 1777017 1938564 2369356 3554034 3877128 4738712 5331051 7108068 10662102 14216136 21324204 42648408