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825500028 = 2231792271693
BaseRepresentation
bin110001001101000…
…010000101111100
32010112022202011010
4301031002011330
53142312000103
6213525155220
726312430423
oct6115020574
92115282133
10825500028
11393a78431
121b055bb10
13102040872
147b8c62ba
154c712903
hex3134217c

825500028 has 48 divisors (see below), whose sum is σ = 1946609280. Its totient is φ = 272263104.

The previous prime is 825499999. The next prime is 825500033. The reversal of 825500028 is 820005528.

825500028 is a nontrivial binomial coefficient, being equal to C(40633, 2).

It is a junction number, because it is equal to n+sod(n) for n = 825499968 and 825500004.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 486750 + ... + 488442.

It is an arithmetic number, because the mean of its divisors is an integer number (40554360).

Almost surely, 2825500028 is an apocalyptic number.

825500028 is the 40632-nd triangular number.

It is an amenable number.

825500028 is an abundant number, since it is smaller than the sum of its proper divisors (1121109252).

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

825500028 is a wasteful number, since it uses less digits than its factorization.

825500028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2106 (or 2104 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 825500028 is about 28731.5162843871. The cubic root of 825500028 is about 938.0781724955.

The spelling of 825500028 in words is "eight hundred twenty-five million, five hundred thousand, twenty-eight".

Divisors: 1 2 3 4 6 12 179 227 358 454 537 681 716 908 1074 1362 1693 2148 2724 3386 5079 6772 10158 20316 40633 81266 121899 162532 243798 303047 384311 487596 606094 768622 909141 1152933 1212188 1537244 1818282 2305866 3636564 4611732 68791669 137583338 206375007 275166676 412750014 825500028