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490523664 = 24331714643
BaseRepresentation
bin11101001111001…
…100110000010000
31021012000011222010
4131033030300100
52001033224124
6120401342520
715104245101
oct3517146020
91235004863
10490523664
11231984764
12118337a40
137a8179b7
144920a3a8
152d0e5529
hex1d3ccc10

490523664 has 80 divisors (see below), whose sum is σ = 1326772224. Its totient is φ = 155971200.

The previous prime is 490523641. The next prime is 490523687. The reversal of 490523664 is 466325094.

It is an interprime number because it is at equal distance from previous prime (490523641) and next prime (490523687).

It is a super-2 number, since 2×4905236642 = 481226929887969792, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 103327 + ... + 107969.

Almost surely, 2490523664 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 490523664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663386112).

490523664 is an abundant number, since it is smaller than the sum of its proper divisors (836248560).

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

490523664 is a wasteful number, since it uses less digits than its factorization.

490523664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4756 (or 4750 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The square root of 490523664 is about 22147.7688266787. The cubic root of 490523664 is about 788.6542617851.

The spelling of 490523664 in words is "four hundred ninety million, five hundred twenty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 71 93 124 142 186 213 248 284 372 426 496 568 744 852 1136 1488 1704 2201 3408 4402 4643 6603 8804 9286 13206 13929 17608 18572 26412 27858 35216 37144 52824 55716 74288 105648 111432 143933 222864 287866 329653 431799 575732 659306 863598 988959 1151464 1318612 1727196 1977918 2302928 2637224 3454392 3955836 5274448 6908784 7911672 10219243 15823344 20438486 30657729 40876972 61315458 81753944 122630916 163507888 245261832 490523664