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973966480 = 24541296941
BaseRepresentation
bin111010000011011…
…000110010010000
32111212200121211121
4322003120302100
53443313411410
6240351252024
733064402264
oct7203306220
92455617747
10973966480
1145a862483
1223221a014
13126a23736
14934d20a4
155a78c9da
hex3a0d8c90

973966480 has 40 divisors (see below), whose sum is σ = 2319710904. Its totient is φ = 380083200.

The previous prime is 973966451. The next prime is 973966501. The reversal of 973966480 is 84669379.

It can be written as a sum of positive squares in 4 ways, for example, as 25080064 + 948886416 = 5008^2 + 30804^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×9739664802 = 1897221408327180800, which contains 22 as substring.

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, 145191 + ... + 151750.

Almost surely, 2973966480 is an apocalyptic number.

It is an amenable number.

973966480 is an abundant number, since it is smaller than the sum of its proper divisors (1345744424).

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

973966480 is a wasteful number, since it uses less digits than its factorization.

973966480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296995 (or 296989 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 52.

The square root of 973966480 is about 31208.4360389943. The cubic root of 973966480 is about 991.2457466819.

The spelling of 973966480 in words is "nine hundred seventy-three million, nine hundred sixty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1640 3280 296941 593882 1187764 1484705 2375528 2969410 4751056 5938820 11877640 12174581 23755280 24349162 48698324 60872905 97396648 121745810 194793296 243491620 486983240 973966480