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73889960 = 2353535233
BaseRepresentation
bin1000110011101…
…11100010101000
312011000222222012
410121313202220
5122403434320
611155415052
71555024424
oct431674250
9164028865
1073889960
1138788691
12208b4488
1312401291
149b55b84
1567484c5
hex46778a8

73889960 has 32 divisors (see below), whose sum is σ = 166755240. Its totient is φ = 29466624.

The previous prime is 73889929. The next prime is 73889983. The reversal of 73889960 is 6998837.

It can be written as a sum of positive squares in 4 ways, for example, as 70526404 + 3363556 = 8398^2 + 1834^2 .

It is a junction number, because it is equal to n+sod(n) for n = 73889899 and 73889908.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11504 + ... + 16736.

Almost surely, 273889960 is an apocalyptic number.

It is an amenable number.

73889960 is an abundant number, since it is smaller than the sum of its proper divisors (92865280).

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

73889960 is a wasteful number, since it uses less digits than its factorization.

73889960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5597 (or 5593 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 50.

The square root of 73889960 is about 8595.9269424536. The cubic root of 73889960 is about 419.6254408189.

The spelling of 73889960 in words is "seventy-three million, eight hundred eighty-nine thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 353 706 1412 1765 2824 3530 5233 7060 10466 14120 20932 26165 41864 52330 104660 209320 1847249 3694498 7388996 9236245 14777992 18472490 36944980 73889960