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14952768 = 263471657
BaseRepresentation
bin111001000010…
…100101000000
31001010200100020
4321002211000
512311442033
61252253440
7241045035
oct71024500
931120306
1014952768
118493266
125011280
133136cbc
141db338c
1514a56b3
hexe42940

14952768 has 56 divisors (see below), whose sum is σ = 40428672. Its totient is φ = 4875264.

The previous prime is 14952767. The next prime is 14952781. The reversal of 14952768 is 86725941.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14952761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8196 + ... + 9852.

Almost surely, 214952768 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 14952768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20214336).

14952768 is an abundant number, since it is smaller than the sum of its proper divisors (25475904).

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

14952768 is a wasteful number, since it uses less digits than its factorization.

14952768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1719 (or 1709 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The square root of 14952768 is about 3866.8809136047. The cubic root of 14952768 is about 246.3620816447.

The spelling of 14952768 in words is "fourteen million, nine hundred fifty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 141 188 192 282 376 564 752 1128 1504 1657 2256 3008 3314 4512 4971 6628 9024 9942 13256 19884 26512 39768 53024 77879 79536 106048 155758 159072 233637 311516 318144 467274 623032 934548 1246064 1869096 2492128 3738192 4984256 7476384 14952768