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8249152 = 26612113
BaseRepresentation
bin11111011101111101000000
3120112002201011
4133131331000
54102433102
6452450304
7130055002
oct37357500
916462634
108249152
11472478a
122919994
13192a972
14114a372
15ace2d7
hex7ddf40

8249152 has 28 divisors (see below), whose sum is σ = 16645636. Its totient is φ = 4055040.

The previous prime is 8249149. The next prime is 8249161. The reversal of 8249152 is 2519428.

8249152 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 92416 + 8156736 = 304^2 + 2856^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2848 + ... + 4960.

It is an arithmetic number, because the mean of its divisors is an integer number (594487).

Almost surely, 28249152 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 8249152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8322818).

8249152 is an abundant number, since it is smaller than the sum of its proper divisors (8396484).

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

8249152 is a wasteful number, since it uses less digits than its factorization.

8249152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2186 (or 2176 counting only the distinct ones).

The product of its digits is 5760, while the sum is 31.

The square root of 8249152 is about 2872.1337016232. The cubic root of 8249152 is about 202.0550776191.

The spelling of 8249152 in words is "eight million, two hundred forty-nine thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 61 64 122 244 488 976 1952 2113 3904 4226 8452 16904 33808 67616 128893 135232 257786 515572 1031144 2062288 4124576 8249152