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497521664 = 2103891249
BaseRepresentation
bin11101101001111…
…001010000000000
31021200011201102022
4131221321100000
52004331143124
6121211341012
715220602323
oct3551712000
91250151368
10497521664
11235924432
1211a751768
137c0c8023
144a10c7ba
152da28c5e
hex1da79400

497521664 has 44 divisors (see below), whose sum is σ = 997912500. Its totient is φ = 247922688.

The previous prime is 497521627. The next prime is 497521679. The reversal of 497521664 is 466125794.

497521664 = T192 + T193 + ... + T1440.

It can be written as a sum of positive squares in 2 ways, for example, as 158961664 + 338560000 = 12608^2 + 18400^2 .

It is a super-2 number, since 2×4975216642 = 495055612298657792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 397712 + ... + 398960.

Almost surely, 2497521664 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 497521664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498956250).

497521664 is an abundant number, since it is smaller than the sum of its proper divisors (500390836).

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

497521664 is a wasteful number, since it uses less digits than its factorization.

497521664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1658 (or 1640 counting only the distinct ones).

The product of its digits is 362880, while the sum is 44.

The square root of 497521664 is about 22305.1936552902. The cubic root of 497521664 is about 792.3869822613.

The spelling of 497521664 in words is "four hundred ninety-seven million, five hundred twenty-one thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 256 389 512 778 1024 1249 1556 2498 3112 4996 6224 9992 12448 19984 24896 39968 49792 79936 99584 159872 199168 319744 398336 485861 639488 971722 1278976 1943444 3886888 7773776 15547552 31095104 62190208 124380416 248760832 497521664