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497264640 = 2113516187
BaseRepresentation
bin11101101000111…
…010100000000000
31021122200122211220
4131220322200000
52004244432030
6121202035040
715215452065
oct3550724000
91248618756
10497264640
11235769314
1211a648a80
137c038042
144a082c6c
152d9c7a10
hex1da3a800

497264640 has 96 divisors (see below), whose sum is σ = 1590956640. Its totient is φ = 132595712.

The previous prime is 497264629. The next prime is 497264641. The reversal of 497264640 is 46462794.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 497264592 and 497264601.

It is not an unprimeable number, because it can be changed into a prime (497264641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22627 + ... + 38813.

It is an arithmetic number, because the mean of its divisors is an integer number (16572465).

Almost surely, 2497264640 is an apocalyptic number.

497264640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 497264640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795478320).

497264640 is an abundant number, since it is smaller than the sum of its proper divisors (1093692000).

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

497264640 is a wasteful number, since it uses less digits than its factorization.

497264640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16217 (or 16197 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The square root of 497264640 is about 22299.4313828851. The cubic root of 497264640 is about 792.2505074317.

The spelling of 497264640 in words is "four hundred ninety-seven million, two hundred sixty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2048 2560 3072 3840 5120 6144 7680 10240 15360 16187 30720 32374 48561 64748 80935 97122 129496 161870 194244 242805 258992 323740 388488 485610 517984 647480 776976 971220 1035968 1294960 1553952 1942440 2071936 2589920 3107904 3884880 4143872 5179840 6215808 7769760 8287744 10359680 12431616 15539520 16575488 20719360 24863232 31079040 33150976 41438720 49726464 62158080 82877440 99452928 124316160 165754880 248632320 497264640