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14248976 = 2472941107
BaseRepresentation
bin110110010110…
…110000010000
3222210220220212
4312112300100
512121431401
61225223252
7232054130
oct66266020
928726825
1014248976
118052515
124931b28
132c4b861
141c6cac0
1513b6dbb
hexd96c10

14248976 has 80 divisors (see below), whose sum is σ = 33747840. Its totient is φ = 5698560.

The previous prime is 14248963. The next prime is 14248981. The reversal of 14248976 is 67984241.

It is a Harshad number since it is a multiple of its sum of digits (41).

Its product of digits (96768) is a multiple of the sum of its prime factors (192).

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, 133115 + ... + 133221.

It is an arithmetic number, because the mean of its divisors is an integer number (421848).

Almost surely, 214248976 is an apocalyptic number.

14248976 is a gapful number since it is divisible by the number (16) 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 14248976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16873920).

14248976 is an abundant number, since it is smaller than the sum of its proper divisors (19498864).

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

14248976 is a wasteful number, since it uses less digits than its factorization.

14248976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 186 counting only the distinct ones).

The product of its digits is 96768, while the sum is 41.

The square root of 14248976 is about 3774.7815830853. The cubic root of 14248976 is about 242.4345719260.

The spelling of 14248976 in words is "fourteen million, two hundred forty-eight thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 29 41 56 58 82 107 112 116 164 203 214 232 287 328 406 428 464 574 656 749 812 856 1148 1189 1498 1624 1712 2296 2378 2996 3103 3248 4387 4592 4756 5992 6206 8323 8774 9512 11984 12412 16646 17548 19024 21721 24824 30709 33292 35096 43442 49648 61418 66584 70192 86884 122836 127223 133168 173768 245672 254446 347536 491344 508892 890561 1017784 1781122 2035568 3562244 7124488 14248976