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8268552 = 2332412801
BaseRepresentation
bin11111100010101100001000
3120120002022200
4133202230020
54104043202
6453120200
7130165365
oct37425410
916502280
108268552
114738316
122929060
131936746
14115346c
15ad4e1c
hex7e2b08

8268552 has 48 divisors (see below), whose sum is σ = 22948380. Its totient is φ = 2688000.

The previous prime is 8268541. The next prime is 8268563. The reversal of 8268552 is 2558628.

It is an interprime number because it is at equal distance from previous prime (8268541) and next prime (8268563).

It can be written as a sum of positive squares in 2 ways, for example, as 7650756 + 617796 = 2766^2 + 786^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1552 + ... + 4352.

Almost surely, 28268552 is an apocalyptic number.

8268552 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8268552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11474190).

8268552 is an abundant number, since it is smaller than the sum of its proper divisors (14679828).

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

8268552 is a wasteful number, since it uses less digits than its factorization.

8268552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2854 (or 2847 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 8268552 is about 2875.5089984210. The cubic root of 8268552 is about 202.2133484189.

The spelling of 8268552 in words is "eight million, two hundred sixty-eight thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 738 984 1476 2801 2952 5602 8403 11204 16806 22408 25209 33612 50418 67224 100836 114841 201672 229682 344523 459364 689046 918728 1033569 1378092 2067138 2756184 4134276 8268552