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14948076 = 223111331281
BaseRepresentation
bin111001000001…
…011011101100
31001010102220110
4321001123230
512311314301
61252220020
7241025253
oct71013354
931112813
1014948076
11848a790
12500a610
133134b20
141db179a
1514a40d6
hexe416ec

14948076 has 96 divisors (see below), whose sum is σ = 42448896. Its totient is φ = 4032000.

The previous prime is 14948057. The next prime is 14948099. The reversal of 14948076 is 67084941.

It is a happy number.

14948076 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×149480762 = 446889952203552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53056 + ... + 53336.

It is an arithmetic number, because the mean of its divisors is an integer number (442176).

Almost surely, 214948076 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14948076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21224448).

14948076 is an abundant number, since it is smaller than the sum of its proper divisors (27500820).

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

14948076 is a wasteful number, since it uses less digits than its factorization.

14948076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 14948076 is about 3866.2741754821. The cubic root of 14948076 is about 246.3363104561.

The spelling of 14948076 in words is "fourteen million, nine hundred forty-eight thousand, seventy-six".

Divisors: 1 2 3 4 6 11 12 13 22 26 31 33 39 44 52 62 66 78 93 124 132 143 156 186 281 286 341 372 403 429 562 572 682 806 843 858 1023 1124 1209 1364 1612 1686 1716 2046 2418 3091 3372 3653 4092 4433 4836 6182 7306 8711 8866 9273 10959 12364 13299 14612 17422 17732 18546 21918 26133 26598 34844 37092 40183 43836 52266 53196 80366 95821 104532 113243 120549 160732 191642 226486 241098 287463 339729 383284 452972 482196 574926 679458 1149852 1245673 1358916 2491346 3737019 4982692 7474038 14948076