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14207952 = 2431171379
BaseRepresentation
bin110110001100…
…101111010000
3222201211122110
4312030233100
512114123302
61224305320
7231523413
oct66145720
928654573
1014207952
118024710
124912240
132c35c95
141c5bb7a
1513a9b6c
hexd8cbd0

14207952 has 80 divisors (see below), whose sum is σ = 40711680. Its totient is φ = 4233600.

The previous prime is 14207939. The next prime is 14207969. The reversal of 14207952 is 25970241.

14207952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37299 + ... + 37677.

It is an arithmetic number, because the mean of its divisors is an integer number (508896).

Almost surely, 214207952 is an apocalyptic number.

14207952 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 14207952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20355840).

14207952 is an abundant number, since it is smaller than the sum of its proper divisors (26503728).

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

14207952 is a wasteful number, since it uses less digits than its factorization.

14207952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 14207952 is about 3769.3437094539. The cubic root of 14207952 is about 242.2016851102.

The spelling of 14207952 in words is "fourteen million, two hundred seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 71 88 132 142 176 213 264 284 379 426 528 568 758 781 852 1136 1137 1516 1562 1704 2274 2343 3032 3124 3408 4169 4548 4686 6064 6248 8338 9096 9372 12496 12507 16676 18192 18744 25014 26909 33352 37488 50028 53818 66704 80727 100056 107636 161454 200112 215272 295999 322908 430544 591998 645816 887997 1183996 1291632 1775994 2367992 3551988 4735984 7103976 14207952