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249008076 = 223237712633
BaseRepresentation
bin11101101011110…
…00111111001100
3122100112220212100
432311320333030
51002221224301
640413035100
76112351032
oct1665707714
9570486770
10249008076
111186164a9
126b485a90
133c786075
14250dc552
1516cda286
hexed78fcc

249008076 has 72 divisors (see below), whose sum is σ = 655802784. Its totient is φ = 79591680.

The previous prime is 249008057. The next prime is 249008077. The reversal of 249008076 is 670800942.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 249008076.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249008077) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93256 + ... + 95888.

It is an arithmetic number, because the mean of its divisors is an integer number (9108372).

Almost surely, 2249008076 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 249008076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327901392).

249008076 is an abundant number, since it is smaller than the sum of its proper divisors (406794708).

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

249008076 is a wasteful number, since it uses less digits than its factorization.

249008076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2751 (or 2746 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 249008076 is about 15779.9897338370. The cubic root of 249008076 is about 629.1262566466.

The spelling of 249008076 in words is "two hundred forty-nine million, eight thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 37 71 74 111 142 148 213 222 284 333 426 444 639 666 852 1278 1332 2556 2627 2633 5254 5266 7881 7899 10508 10532 15762 15798 23643 23697 31524 31596 47286 47394 94572 94788 97421 186943 194842 292263 373886 389684 560829 584526 747772 876789 1121658 1169052 1682487 1753578 2243316 3364974 3507156 6729948 6916891 13833782 20750673 27667564 41501346 62252019 83002692 124504038 249008076