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14331492 = 223477189
BaseRepresentation
bin110110101010…
…111001100100
3222222010010000
4312222321210
512132101432
61231101300
7232546530
oct66527144
928863100
1014331492
1180a950a
124971830
132c7a296
141c90bc0
1513d157c
hexdaae64

14331492 has 120 divisors (see below), whose sum is σ = 43908480. Its totient is φ = 3991680.

The previous prime is 14331487. The next prime is 14331497. The reversal of 14331492 is 29413341.

14331492 is a `hidden beast` number, since 143 + 31 + 492 = 666.

It is an interprime number because it is at equal distance from previous prime (14331487) and next prime (14331497).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (14331497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 160984 + ... + 161072.

It is an arithmetic number, because the mean of its divisors is an integer number (365904).

Almost surely, 214331492 is an apocalyptic number.

14331492 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 14331492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21954240).

14331492 is an abundant number, since it is smaller than the sum of its proper divisors (29576988).

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

14331492 is a wasteful number, since it uses less digits than its factorization.

14331492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 172 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 14331492 is about 3785.6957088493. The cubic root of 14331492 is about 242.9016520168.

The spelling of 14331492 in words is "fourteen million, three hundred thirty-one thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 71 81 84 89 108 126 142 162 178 189 213 252 267 284 324 356 378 426 497 534 567 623 639 756 801 852 994 1068 1134 1246 1278 1491 1602 1869 1917 1988 2268 2403 2492 2556 2982 3204 3738 3834 4473 4806 5607 5751 5964 6319 7209 7476 7668 8946 9612 11214 11502 12638 13419 14418 16821 17892 18957 22428 23004 25276 26838 28836 33642 37914 40257 44233 50463 53676 56871 67284 75828 80514 88466 100926 113742 132699 161028 170613 176932 201852 227484 265398 341226 398097 511839 530796 682452 796194 1023678 1194291 1592388 2047356 2388582 3582873 4777164 7165746 14331492