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82826625 = 3537139227
BaseRepresentation
bin1001110111111…
…01010110000001
312202212000202210
410323331112001
5132200423000
612115132333
72024005020
oct473752601
9182760683
1082826625
1142831962
12238a40a9
131420cb4b
14b0008b7
157411350
hex4efd581

82826625 has 64 divisors (see below), whose sum is σ = 159344640. Its totient is φ = 37425600.

The previous prime is 82826621. The next prime is 82826629. The reversal of 82826625 is 52662828.

It is an interprime number because it is at equal distance from previous prime (82826621) and next prime (82826629).

It is not a de Polignac number, because 82826625 - 22 = 82826621 is a prime.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (82826621) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 364762 + ... + 364988.

It is an arithmetic number, because the mean of its divisors is an integer number (2489760).

Almost surely, 282826625 is an apocalyptic number.

82826625 is the 4865-th nonagonal number.

It is an amenable number.

82826625 is a deficient number, since it is larger than the sum of its proper divisors (76518015).

82826625 is a wasteful number, since it uses less digits than its factorization.

82826625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 381 counting only the distinct ones).

The product of its digits is 92160, while the sum is 39.

The square root of 82826625 is about 9100.9134156963. The cubic root of 82826625 is about 435.9031309218.

The spelling of 82826625 in words is "eighty-two million, eight hundred twenty-six thousand, six hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 75 105 125 139 175 227 375 417 525 681 695 875 973 1135 1589 2085 2625 2919 3405 3475 4767 4865 5675 7945 10425 14595 17025 17375 23835 24325 28375 31553 39725 52125 72975 85125 94659 119175 121625 157765 198625 220871 364875 473295 595875 662613 788825 1104355 2366475 3313065 3944125 5521775 11832375 16565325 27608875 82826625