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249416672 = 2510177171
BaseRepresentation
bin11101101110111…
…00101111100000
3122101022200100112
432313130233200
51002322313142
640425510452
76116002211
oct1667345740
9571280315
10249416672
1111887548a
126b642428
133c89a03b
14251a7408
1516d6b382
hexeddcbe0

249416672 has 24 divisors (see below), whose sum is σ = 495907272. Its totient is φ = 123472000.

The previous prime is 249416633. The next prime is 249416693. The reversal of 249416672 is 276614942.

249416672 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 35354 + ... + 41817.

It is an arithmetic number, because the mean of its divisors is an integer number (20662803).

Almost surely, 2249416672 is an apocalyptic number.

It is an amenable number.

249416672 is a deficient number, since it is larger than the sum of its proper divisors (246490600).

249416672 is a wasteful number, since it uses less digits than its factorization.

249416672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77282 (or 77274 counting only the distinct ones).

The product of its digits is 145152, while the sum is 41.

The square root of 249416672 is about 15792.9310769091. The cubic root of 249416672 is about 629.4701785550.

It can be divided in two parts, 24941 and 6672, that added together give a palindrome (31613).

The spelling of 249416672 in words is "two hundred forty-nine million, four hundred sixteen thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 32 101 202 404 808 1616 3232 77171 154342 308684 617368 1234736 2469472 7794271 15588542 31177084 62354168 124708336 249416672