Search a number
-
+
14887392 = 2531379151
BaseRepresentation
bin111000110010…
…100111100000
31001000100122220
4320302213200
512302344032
61251031040
7240353322
oct70624740
931010586
1014887392
118449133
124b9b480
133113310
141d97612
15149112c
hexe329e0

14887392 has 96 divisors (see below), whose sum is σ = 42900480. Its totient is φ = 4492800.

The previous prime is 14887381. The next prime is 14887399. The reversal of 14887392 is 29378841.

It is a tau number, because it is divible by the number of its divisors (96).

Its product of digits (96768) is a multiple of the sum of its prime factors (256).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14887399) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 98517 + ... + 98667.

It is an arithmetic number, because the mean of its divisors is an integer number (446880).

Almost surely, 214887392 is an apocalyptic number.

14887392 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 14887392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21450240).

14887392 is an abundant number, since it is smaller than the sum of its proper divisors (28013088).

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

14887392 is a wasteful number, since it uses less digits than its factorization.

14887392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 248 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 14887392 is about 3858.4183287974. The cubic root of 14887392 is about 246.0025117068.

The spelling of 14887392 in words is "fourteen million, eight hundred eighty-seven thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 79 96 104 151 156 158 208 237 302 312 316 416 453 474 604 624 632 906 948 1027 1208 1248 1264 1812 1896 1963 2054 2416 2528 3081 3624 3792 3926 4108 4832 5889 6162 7248 7584 7852 8216 11778 11929 12324 14496 15704 16432 23556 23858 24648 31408 32864 35787 47112 47716 49296 62816 71574 94224 95432 98592 143148 155077 188448 190864 286296 310154 381728 465231 572592 620308 930462 1145184 1240616 1860924 2481232 3721848 4962464 7443696 14887392