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18295056 = 24321329337
BaseRepresentation
bin100010111001…
…0100100010000
31021102111002200
41011302210100
514140420211
61452043200
7311335233
oct105624420
937374080
1018295056
11a36638a
126163500
133a373a0
14260341a
151915b56
hex1172910

18295056 has 120 divisors (see below), whose sum is σ = 57209880. Its totient is φ = 5419008.

The previous prime is 18295037. The next prime is 18295091. The reversal of 18295056 is 65059281.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 147456 + 18147600 = 384^2 + 4260^2 .

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 18295056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54120 + ... + 54456.

It is an arithmetic number, because the mean of its divisors is an integer number (476749).

Almost surely, 218295056 is an apocalyptic number.

18295056 is a gapful number since it is divisible by the number (16) 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 18295056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28604940).

18295056 is an abundant number, since it is smaller than the sum of its proper divisors (38914824).

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

18295056 is a wasteful number, since it uses less digits than its factorization.

18295056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 18295056 is about 4277.2720278233. The cubic root of 18295056 is about 263.4983587016.

The spelling of 18295056 in words is "eighteen million, two hundred ninety-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 29 36 39 48 52 58 72 78 87 104 116 117 144 156 174 208 232 234 261 312 337 348 377 464 468 522 624 674 696 754 936 1011 1044 1131 1348 1392 1508 1872 2022 2088 2262 2696 3016 3033 3393 4044 4176 4381 4524 5392 6032 6066 6786 8088 8762 9048 9773 12132 13143 13572 16176 17524 18096 19546 24264 26286 27144 29319 35048 39092 39429 48528 52572 54288 58638 70096 78184 78858 87957 105144 117276 127049 156368 157716 175914 210288 234552 254098 315432 351828 381147 469104 508196 630864 703656 762294 1016392 1143441 1407312 1524588 2032784 2286882 3049176 4573764 6098352 9147528 18295056