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8113632 = 253223379
BaseRepresentation
bin11110111100110111100000
3120021012210220
4132330313200
54034114012
6445523040
7125651622
oct36746740
916235726
108113632
11464198a
122873480
1318b1087
141112c12
15aa408c
hex7bcde0

8113632 has 48 divisors (see below), whose sum is σ = 21450240. Its totient is φ = 2685312.

The previous prime is 8113631. The next prime is 8113639. The reversal of 8113632 is 2363118.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8113631) 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, 21219 + ... + 21597.

It is an arithmetic number, because the mean of its divisors is an integer number (446880).

Almost surely, 28113632 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 8113632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10725120).

8113632 is an abundant number, since it is smaller than the sum of its proper divisors (13336608).

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

8113632 is a wasteful number, since it uses less digits than its factorization.

8113632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 607 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 8113632 is about 2848.4437856486. The cubic root of 8113632 is about 200.9424849672.

The spelling of 8113632 in words is "eight million, one hundred thirteen thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 223 379 446 669 758 892 1137 1338 1516 1784 2274 2676 3032 3568 4548 5352 6064 7136 9096 10704 12128 18192 21408 36384 84517 169034 253551 338068 507102 676136 1014204 1352272 2028408 2704544 4056816 8113632