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8069952 = 263113821
BaseRepresentation
bin11110110010001101000000
3120011222220010
4132302031000
54031214302
6444544520
7125410362
oct36621500
916158803
108069952
114612090
122852140
131897227
141100d32
15a9616c
hex7b2340

8069952 has 56 divisors (see below), whose sum is σ = 23298912. Its totient is φ = 2444800.

The previous prime is 8069921. The next prime is 8069953. The reversal of 8069952 is 2599608.

It is a happy number.

8069952 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 8069952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8069953) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 202 + ... + 4022.

It is an arithmetic number, because the mean of its divisors is an integer number (416052).

Almost surely, 28069952 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 8069952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11649456).

8069952 is an abundant number, since it is smaller than the sum of its proper divisors (15228960).

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

8069952 is a wasteful number, since it uses less digits than its factorization.

8069952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3847 (or 3837 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 8069952 is about 2840.7660938557. The cubic root of 8069952 is about 200.5812424828.

The spelling of 8069952 in words is "eight million, sixty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 3821 7642 11463 15284 22926 30568 42031 45852 61136 84062 91704 122272 126093 168124 183408 244544 252186 336248 366816 504372 672496 733632 1008744 1344992 2017488 2689984 4034976 8069952