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8375268 = 2231167947
BaseRepresentation
bin11111111100101111100100
3120202111201010
4133330233210
54121002033
6455302220
7131121456
oct37745744
916674633
108375268
114800510
12297a970
1319731a5
1411802d6
15b06863
hex7fcbe4

8375268 has 48 divisors (see below), whose sum is σ = 21659904. Its totient is φ = 2497440.

The previous prime is 8375261. The next prime is 8375273. The reversal of 8375268 is 8625738.

It is a super-2 number, since 2×83752682 = 140290228143648, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8375261) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8371 + ... + 9317.

It is an arithmetic number, because the mean of its divisors is an integer number (451248).

Almost surely, 28375268 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 8375268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10829952).

8375268 is an abundant number, since it is smaller than the sum of its proper divisors (13284636).

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

8375268 is a wasteful number, since it uses less digits than its factorization.

8375268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032 (or 1030 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 8375268 is about 2894.0055286747. The cubic root of 8375268 is about 203.0795711582.

It can be divided in two parts, 837 and 5268, that added together give a triangular number (6105 = T110).

The spelling of 8375268 in words is "eight million, three hundred seventy-five thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 67 132 134 201 268 402 737 804 947 1474 1894 2211 2841 2948 3788 4422 5682 8844 10417 11364 20834 31251 41668 62502 63449 125004 126898 190347 253796 380694 697939 761388 1395878 2093817 2791756 4187634 8375268