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3085401825 = 3252111773331
BaseRepresentation
bin1011011111100111…
…0111111011100001
321222000201122121200
42313321313323201
522304330324300
61230054511413
7136313324412
oct26771677341
97860648550
103085401825
1113436a1070
12721365569
133a22b656c
14213ab7809
15130d13200
hexb7e77ee1

3085401825 has 72 divisors (see below), whose sum is σ = 6383403936. Its totient is φ = 1407936000.

The previous prime is 3085401799. The next prime is 3085401853. The reversal of 3085401825 is 5281045803.

It is a happy number.

3085401825 is a `hidden beast` number, since 30 + 8 + 540 + 1 + 82 + 5 = 666.

It is not a de Polignac number, because 3085401825 - 29 = 3085401313 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3085401825.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5410 + ... + 78740.

It is an arithmetic number, because the mean of its divisors is an integer number (88658388).

Almost surely, 23085401825 is an apocalyptic number.

It is an amenable number.

3085401825 is an abundant number, since it is smaller than the sum of its proper divisors (3298002111).

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

3085401825 is a wasteful number, since it uses less digits than its factorization.

3085401825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73375 (or 73367 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 3085401825 is about 55546.3934472797. The cubic root of 3085401825 is about 1455.8073600508.

The spelling of 3085401825 in words is "three billion, eighty-five million, four hundred one thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 11 15 17 25 33 45 51 55 75 85 99 153 165 187 225 255 275 425 495 561 765 825 935 1275 1683 2475 2805 3825 4675 8415 14025 42075 73331 219993 366655 659979 806641 1099965 1246627 1833275 2419923 3299895 3739881 4033205 5499825 6233135 7259769 11219643 12099615 13712897 16499475 18699405 20166025 31165675 36298845 41138691 56098215 60498075 68564485 93497025 123416073 181494225 205693455 280491075 342822425 617080365 1028467275 3085401825