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8125056 = 27332351
BaseRepresentation
bin11110111111101010000000
3120021210111000
4132333222000
54040000211
6450052000
7126030132
oct36775200
916253430
108125056
11464a525
12287a000
1318b6334
141117052
15aa7656
hex7bfa80

8125056 has 64 divisors (see below), whose sum is σ = 23990400. Its totient is φ = 2707200.

The previous prime is 8125037. The next prime is 8125081. The reversal of 8125056 is 6505218.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between even and odd.

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, 2281 + ... + 4631.

It is an arithmetic number, because the mean of its divisors is an integer number (374850).

Almost surely, 28125056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8125056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11995200).

8125056 is an abundant number, since it is smaller than the sum of its proper divisors (15865344).

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

8125056 is a wasteful number, since it uses less digits than its factorization.

8125056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2374 (or 2356 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 8125056 is about 2850.4483857807. The cubic root of 8125056 is about 201.0367497964.

The spelling of 8125056 in words is "eight million, one hundred twenty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 2351 3456 4702 7053 9404 14106 18808 21159 28212 37616 42318 56424 63477 75232 84636 112848 126954 150464 169272 225696 253908 300928 338544 451392 507816 677088 902784 1015632 1354176 2031264 2708352 4062528 8125056