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993770825 = 52614431471
BaseRepresentation
bin111011001110111…
…011110101001001
32120020221210021212
4323032323311021
54013401131300
6242335542505
733424625015
oct7316736511
92506853255
10993770825
1146aa59803
1223898aa35
1312ab68a98
1495da9545
155c3a0935
hex3b3bbd49

993770825 has 24 divisors (see below), whose sum is σ = 1256157696. Its totient is φ = 779688000.

The previous prime is 993770801. The next prime is 993770857. The reversal of 993770825 is 528077399.

It is a happy number.

It is not a de Polignac number, because 993770825 - 26 = 993770761 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 674840 + ... + 676310.

It is an arithmetic number, because the mean of its divisors is an integer number (52339904).

Almost surely, 2993770825 is an apocalyptic number.

It is an amenable number.

993770825 is a deficient number, since it is larger than the sum of its proper divisors (262386871).

993770825 is a wasteful number, since it uses less digits than its factorization.

993770825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1985 (or 1980 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 50.

The square root of 993770825 is about 31524.1308365512. The cubic root of 993770825 is about 997.9192819485.

The spelling of 993770825 in words is "nine hundred ninety-three million, seven hundred seventy thousand, eight hundred twenty-five".

Divisors: 1 5 25 61 305 443 1471 1525 2215 7355 11075 27023 36775 89731 135115 448655 651653 675575 2243275 3258265 16291325 39750833 198754165 993770825