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492497664 = 2834331481
BaseRepresentation
bin11101010110101…
…110101100000000
31021022201110210020
4131112232230000
52002034411124
6120511533440
715130106151
oct3526565400
91238643706
10492497664
1123300286a
12118b2a280
137b059349
14495a1928
152d385379
hex1d5aeb00

492497664 has 72 divisors (see below), whose sum is σ = 1314676272. Its totient is φ = 163676160.

The previous prime is 492497659. The next prime is 492497683. The reversal of 492497664 is 466794294.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 331804 + ... + 333284.

Almost surely, 2492497664 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 492497664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657338136).

492497664 is an abundant number, since it is smaller than the sum of its proper divisors (822178608).

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

492497664 is a wasteful number, since it uses less digits than its factorization.

492497664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1933 (or 1919 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 51.

The square root of 492497664 is about 22192.2883903396. The cubic root of 492497664 is about 789.7107652394.

The spelling of 492497664 in words is "four hundred ninety-two million, four hundred ninety-seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 433 768 866 1299 1481 1732 2598 2962 3464 4443 5196 5924 6928 8886 10392 11848 13856 17772 20784 23696 27712 35544 41568 47392 55424 71088 83136 94784 110848 142176 166272 189568 284352 332544 379136 568704 641273 1137408 1282546 1923819 2565092 3847638 5130184 7695276 10260368 15390552 20520736 30781104 41041472 61562208 82082944 123124416 164165888 246248832 492497664