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8125968 = 2433143127
BaseRepresentation
bin11110111111111000010000
3120021211201210
4132333320100
54040012333
6450100120
7126032604
oct36777020
916254653
108125968
114650184
12287a640
1318b6886
141117504
15aa7a63
hex7bfe10

8125968 has 80 divisors (see below), whose sum is σ = 22347776. Its totient is φ = 2540160.

The previous prime is 8125951. The next prime is 8125973. The reversal of 8125968 is 8695218.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63921 + ... + 64047.

Almost surely, 28125968 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 8125968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11173888).

8125968 is an abundant number, since it is smaller than the sum of its proper divisors (14221808).

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

8125968 is a wasteful number, since it uses less digits than its factorization.

8125968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 206 counting only the distinct ones).

The product of its digits is 34560, while the sum is 39.

The square root of 8125968 is about 2850.6083561233. The cubic root of 8125968 is about 201.0442713304.

The spelling of 8125968 in words is "eight million, one hundred twenty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 43 48 62 86 93 124 127 129 172 186 248 254 258 344 372 381 496 508 516 688 744 762 1016 1032 1333 1488 1524 2032 2064 2666 3048 3937 3999 5332 5461 6096 7874 7998 10664 10922 11811 15748 15996 16383 21328 21844 23622 31496 31992 32766 43688 47244 62992 63984 65532 87376 94488 131064 169291 188976 262128 338582 507873 677164 1015746 1354328 2031492 2708656 4062984 8125968