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427939008 = 2637318407
BaseRepresentation
bin11001100000011…
…101010011000000
31002211020112221220
4121200131103000
51334023022013
6110244115040
713414264410
oct3140352300
91084215856
10427939008
111aa618a02
12bb395a80
136a874463
1440b98640
1527881b23
hex1981d4c0

427939008 has 56 divisors (see below), whose sum is σ = 1294010112. Its totient is φ = 122267904.

The previous prime is 427938991. The next prime is 427939009. The reversal of 427939008 is 800939724.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (427939009) 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 7 ways as a sum of consecutive naturals, for example, 157860 + ... + 160547.

Almost surely, 2427939008 is an apocalyptic number.

427939008 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

427939008 is an abundant number, since it is smaller than the sum of its proper divisors (866071104).

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

427939008 is a wasteful number, since it uses less digits than its factorization.

427939008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318429 (or 318419 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 427939008 is about 20686.6867332591. The cubic root of 427939008 is about 753.5764048851.

The spelling of 427939008 in words is "four hundred twenty-seven million, nine hundred thirty-nine thousand, eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 318407 636814 955221 1273628 1910442 2228849 2547256 3820884 4457698 5094512 6686547 7641768 8915396 10189024 13373094 15283536 17830792 20378048 26746188 30567072 35661584 53492376 61134144 71323168 106984752 142646336 213969504 427939008