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8269056 = 28323797
BaseRepresentation
bin11111100010110100000000
3120120010000100
4133202310000
54104102211
6453122400
7130200015
oct37426400
916503010
108269056
114738734
122929400
131936a43
14115370c
15ad5156
hex7e2d00

8269056 has 108 divisors (see below), whose sum is σ = 24738532. Its totient is φ = 2654208.

The previous prime is 8269049. The next prime is 8269061. The reversal of 8269056 is 6509628.

It can be written as a sum of positive squares in 2 ways, for example, as 5760000 + 2509056 = 2400^2 + 1584^2 .

It is a super-2 number, since 2×82690562 = 136754574262272, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 8269056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85200 + ... + 85296.

Almost surely, 28269056 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 8269056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12369266).

8269056 is an abundant number, since it is smaller than the sum of its proper divisors (16469476).

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

8269056 is a wasteful number, since it uses less digits than its factorization.

8269056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 8269056 is about 2875.5966337440. The cubic root of 8269056 is about 202.2174568955.

The spelling of 8269056 in words is "eight million, two hundred sixty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 97 111 128 144 148 192 194 222 256 288 291 296 333 384 388 444 576 582 592 666 768 776 873 888 1152 1164 1184 1332 1552 1746 1776 2304 2328 2368 2664 3104 3492 3552 3589 4656 4736 5328 6208 6984 7104 7178 9312 9472 10656 10767 12416 13968 14208 14356 18624 21312 21534 24832 27936 28416 28712 32301 37248 42624 43068 55872 57424 64602 74496 85248 86136 111744 114848 129204 172272 223488 229696 258408 344544 459392 516816 689088 918784 1033632 1378176 2067264 2756352 4134528 8269056