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464294992 = 2472678839
BaseRepresentation
bin11011101011001…
…001010001010000
31012100122121222211
4123223021101100
51422324414432
6114023241504
714335304500
oct3353112120
91170577884
10464294992
1121909a777
1210b5a9294
1375263485
144593da00
152ab63d47
hex1bac9450

464294992 has 60 divisors (see below), whose sum is σ = 1062179040. Its totient is φ = 195991488.

The previous prime is 464294977. The next prime is 464295071. The reversal of 464294992 is 299492464.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 48109 + ... + 56947.

It is an arithmetic number, because the mean of its divisors is an integer number (17702984).

Almost surely, 2464294992 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 464294992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531089520).

464294992 is an abundant number, since it is smaller than the sum of its proper divisors (597884048).

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

464294992 is a wasteful number, since it uses less digits than its factorization.

464294992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8928 (or 8915 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 49.

The square root of 464294992 is about 21547.5054704715. The cubic root of 464294992 is about 774.3393562493.

The spelling of 464294992 in words is "four hundred sixty-four million, two hundred ninety-four thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 49 56 67 98 112 134 196 268 392 469 536 784 938 1072 1876 3283 3752 6566 7504 8839 13132 17678 26264 35356 52528 61873 70712 123746 141424 247492 433111 494984 592213 866222 989968 1184426 1732444 2368852 3464888 4145491 4737704 6929776 8290982 9475408 16581964 29018437 33163928 58036874 66327856 116073748 232147496 464294992