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490264056 = 23335693989
BaseRepresentation
bin11101001110001…
…101010111111000
31021011111222212000
4131032031113320
52001001422211
6120352021000
715102114162
oct3516152770
91234458760
10490264056
11231817707
12118231760
137a756799
144917d932
152d093656
hex1d38d5f8

490264056 has 64 divisors (see below), whose sum is σ = 1364580000. Its totient is φ = 163093248.

The previous prime is 490264043. The next prime is 490264063. The reversal of 490264056 is 650462094.

490264056 is a `hidden beast` number, since 4 + 9 + 0 + 2 + 640 + 5 + 6 = 666.

It is a super-2 number, since 2×4902640562 = 480717689211142272, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 490264056.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120910 + ... + 124898.

Almost surely, 2490264056 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 490264056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682290000).

490264056 is an abundant number, since it is smaller than the sum of its proper divisors (874315944).

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

490264056 is a wasteful number, since it uses less digits than its factorization.

490264056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4573 (or 4563 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 490264056 is about 22141.9072349245. The cubic root of 490264056 is about 788.5151063609.

The spelling of 490264056 in words is "four hundred ninety million, two hundred sixty-four thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 569 1138 1707 2276 3414 3989 4552 5121 6828 7978 10242 11967 13656 15363 15956 20484 23934 30726 31912 35901 40968 47868 61452 71802 95736 107703 122904 143604 215406 287208 430812 861624 2269741 4539482 6809223 9078964 13618446 18157928 20427669 27236892 40855338 54473784 61283007 81710676 122566014 163421352 245132028 490264056