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14512992 = 2531329401
BaseRepresentation
bin110111010111…
…001101100000
31000022100002020
4313113031200
512203403432
61235021440
7234233634
oct67271540
930270066
1014512992
11821290a
124a3a880
133011a90
141cdadc4
15141a22c
hexdd7360

14512992 has 96 divisors (see below), whose sum is σ = 42547680. Its totient is φ = 4300800.

The previous prime is 14512987. The next prime is 14512999. The reversal of 14512992 is 29921541.

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

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14512999) 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 15 ways as a sum of consecutive naturals, for example, 35992 + ... + 36392.

It is an arithmetic number, because the mean of its divisors is an integer number (443205).

Almost surely, 214512992 is an apocalyptic number.

14512992 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 14512992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21273840).

14512992 is an abundant number, since it is smaller than the sum of its proper divisors (28034688).

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

14512992 is a wasteful number, since it uses less digits than its factorization.

14512992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 448 counting only the distinct ones).

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

The square root of 14512992 is about 3809.5921041497. The cubic root of 14512992 is about 243.9227561638.

The spelling of 14512992 in words is "fourteen million, five hundred twelve thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 32 39 48 52 58 78 87 96 104 116 156 174 208 232 312 348 377 401 416 464 624 696 754 802 928 1131 1203 1248 1392 1508 1604 2262 2406 2784 3016 3208 4524 4812 5213 6032 6416 9048 9624 10426 11629 12064 12832 15639 18096 19248 20852 23258 31278 34887 36192 38496 41704 46516 62556 69774 83408 93032 125112 139548 151177 166816 186064 250224 279096 302354 372128 453531 500448 558192 604708 907062 1116384 1209416 1814124 2418832 3628248 4837664 7256496 14512992