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497313792 = 2113226981
BaseRepresentation
bin11101101001000…
…110100000000000
31021122210011021100
4131221012200000
52004303020132
6121203054400
715216045303
oct3551064000
91248704240
10497313792
112357a2238
1211a671400
137c054521
144a096b3a
152d9d737c
hex1da46800

497313792 has 72 divisors (see below), whose sum is σ = 1436386770. Its totient is φ = 165765120.

The previous prime is 497313763. The next prime is 497313793. The reversal of 497313792 is 297313794.

It can be written as a sum of positive squares in only one way, i.e., 483296256 + 14017536 = 21984^2 + 3744^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (497313793) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4942 + ... + 31922.

Almost surely, 2497313792 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 497313792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718193385).

497313792 is an abundant number, since it is smaller than the sum of its proper divisors (939072978).

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

497313792 is a wasteful number, since it uses less digits than its factorization.

497313792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27009 (or 26986 counting only the distinct ones).

The product of its digits is 285768, while the sum is 45.

The square root of 497313792 is about 22300.5334465344. The cubic root of 497313792 is about 792.2766098400.

The spelling of 497313792 in words is "four hundred ninety-seven million, three hundred thirteen thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4608 6144 9216 18432 26981 53962 80943 107924 161886 215848 242829 323772 431696 485658 647544 863392 971316 1295088 1726784 1942632 2590176 3453568 3885264 5180352 6907136 7770528 10360704 13814272 15541056 20721408 27628544 31082112 41442816 55257088 62164224 82885632 124328448 165771264 248656896 497313792