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14890456 = 2372953173
BaseRepresentation
bin111000110011…
…010111011000
31001000111212101
4320303113120
512302443311
61251053144
7240365260
oct70632730
931014771
1014890456
118450469
124ba11b4
133114829
141d987a0
151491ec1
hexe335d8

14890456 has 64 divisors (see below), whose sum is σ = 33825600. Its totient is φ = 6010368.

The previous prime is 14890451. The next prime is 14890459. The reversal of 14890456 is 65409841.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14890451) 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, 85986 + ... + 86158.

It is an arithmetic number, because the mean of its divisors is an integer number (528525).

Almost surely, 214890456 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 14890456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16912800).

14890456 is an abundant number, since it is smaller than the sum of its proper divisors (18935144).

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

14890456 is a wasteful number, since it uses less digits than its factorization.

14890456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 14890456 is about 3858.8153622582. The cubic root of 14890456 is about 246.0193872838.

The spelling of 14890456 in words is "fourteen million, eight hundred ninety thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 28 29 53 56 58 106 116 173 203 212 232 346 371 406 424 692 742 812 1211 1384 1484 1537 1624 2422 2968 3074 4844 5017 6148 9169 9688 10034 10759 12296 18338 20068 21518 35119 36676 40136 43036 64183 70238 73352 86072 128366 140476 256732 265901 280952 513464 531802 1063604 1861307 2127208 3722614 7445228 14890456