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249616680 = 233519109481
BaseRepresentation
bin11101110000011…
…01100100101000
3122101200211201020
432320031210220
51002400213210
640434052440
76120464265
oct1670154450
9571624636
10249616680
111189a1785
126b71a120
133c93a0a1
142521a26c
1516daa770
hexee0d928

249616680 has 64 divisors (see below), whose sum is σ = 788270400. Its totient is φ = 63060480.

The previous prime is 249616663. The next prime is 249616687. The reversal of 249616680 is 86616942.

249616680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (249616687) 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, 52461 + ... + 57020.

It is an arithmetic number, because the mean of its divisors is an integer number (12316725).

Almost surely, 2249616680 is an apocalyptic number.

249616680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

249616680 is an abundant number, since it is smaller than the sum of its proper divisors (538653720).

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

249616680 is a wasteful number, since it uses less digits than its factorization.

249616680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109514 (or 109510 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 249616680 is about 15799.2620080813. The cubic root of 249616680 is about 629.6383916265.

The spelling of 249616680 in words is "two hundred forty-nine million, six hundred sixteen thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 109481 218962 328443 437924 547405 656886 875848 1094810 1313772 1642215 2080139 2189620 2627544 3284430 4160278 4379240 6240417 6568860 8320556 10400695 12480834 13137720 16641112 20801390 24961668 31202085 41602780 49923336 62404170 83205560 124808340 249616680