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8413952 = 28231429
BaseRepresentation
bin100000000110…
…001100000000
3120211110202212
4200012030000
54123221302
6500201252
7131342321
oct40061400
916743685
108413952
114827588
122999228
131987991
141190448
15b13052
hex806300

8413952 has 36 divisors (see below), whose sum is σ = 17537520. Its totient is φ = 4021248.

The previous prime is 8413921. The next prime is 8413957. The reversal of 8413952 is 2593148.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (8413957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5174 + ... + 6602.

Almost surely, 28413952 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 8413952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8768760).

8413952 is an abundant number, since it is smaller than the sum of its proper divisors (9123568).

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

8413952 is a wasteful number, since it uses less digits than its factorization.

8413952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1468 (or 1454 counting only the distinct ones).

The product of its digits is 8640, while the sum is 32.

The square root of 8413952 is about 2900.6812992813. The cubic root of 8413952 is about 203.3917548393.

The spelling of 8413952 in words is "eight million, four hundred thirteen thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 736 1429 1472 2858 2944 5716 5888 11432 22864 32867 45728 65734 91456 131468 182912 262936 365824 525872 1051744 2103488 4206976 8413952