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14992152 = 2337233383
BaseRepresentation
bin111001001100…
…001100011000
31001012200100220
4321030030120
512314222102
61253200040
7241300620
oct71141430
931180326
1014992152
11850a90a
125030020
13314bbc6
141dc3880
1514b21bc
hexe4c318

14992152 has 64 divisors (see below), whose sum is σ = 43130880. Its totient is φ = 4253952.

The previous prime is 14992129. The next prime is 14992157. The reversal of 14992152 is 25129941.

It is a super-2 number, since 2×149921522 = 449529243182208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14992157) 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, 38953 + ... + 39335.

It is an arithmetic number, because the mean of its divisors is an integer number (673920).

Almost surely, 214992152 is an apocalyptic number.

14992152 is a gapful number since it is divisible by the number (12) 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 14992152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21565440).

14992152 is an abundant number, since it is smaller than the sum of its proper divisors (28138728).

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

14992152 is a wasteful number, since it uses less digits than its factorization.

14992152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 628 counting only the distinct ones).

The product of its digits is 6480, while the sum is 33.

The square root of 14992152 is about 3871.9700412064. The cubic root of 14992152 is about 246.5781891912.

The spelling of 14992152 in words is "fourteen million, nine hundred ninety-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 233 383 466 699 766 932 1149 1398 1532 1631 1864 2298 2681 2796 3064 3262 4596 4893 5362 5592 6524 8043 9192 9786 10724 13048 16086 19572 21448 32172 39144 64344 89239 178478 267717 356956 535434 624673 713912 1070868 1249346 1874019 2141736 2498692 3748038 4997384 7496076 14992152