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424959808 = 26713131557
BaseRepresentation
bin11001010101000…
…101111101000000
31002121122012021011
4121111011331000
51332242203213
6110100210304
713350045610
oct3125057500
91077565234
10424959808
111a8973659
12ba399994
136a070410
1440620a40
152749403d
hex19545f40

424959808 has 112 divisors (see below), whose sum is σ = 1047682944. Its totient is φ = 166533120.

The previous prime is 424959803. The next prime is 424959851. The reversal of 424959808 is 808959424.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424959803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 762666 + ... + 763222.

It is an arithmetic number, because the mean of its divisors is an integer number (9354312).

Almost surely, 2424959808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424959808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523841472).

424959808 is an abundant number, since it is smaller than the sum of its proper divisors (622723136).

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

424959808 is a wasteful number, since it uses less digits than its factorization.

424959808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 49.

The square root of 424959808 is about 20614.5533058565. The cubic root of 424959808 is about 751.8235967698.

The spelling of 424959808 in words is "four hundred twenty-four million, nine hundred fifty-nine thousand, eight hundred eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 131 182 208 224 262 364 416 448 524 557 728 832 917 1048 1114 1456 1703 1834 2096 2228 2912 3406 3668 3899 4192 4456 5824 6812 7241 7336 7798 8384 8912 11921 13624 14482 14672 15596 17824 23842 27248 28964 29344 31192 35648 47684 50687 54496 57928 58688 62384 72967 95368 101374 108992 115856 124768 145934 190736 202748 231712 249536 291868 381472 405496 463424 510769 583736 762944 810992 948571 1021538 1167472 1621984 1897142 2043076 2334944 3243968 3794284 4086152 4669888 6639997 7588568 8172304 13279994 15177136 16344608 26559988 30354272 32689216 53119976 60708544 106239952 212479904 424959808