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248619896 = 2376173997
BaseRepresentation
bin11101101000110…
…10001101111000
3122022211012101022
432310122031320
51002121314041
640400442012
76106143230
oct1664321570
9568735338
10248619896
11118380898
126b319308
133c67b485
142503acc0
1516c6024b
hexed1a378

248619896 has 64 divisors (see below), whose sum is σ = 549458880. Its totient is φ = 103265280.

The previous prime is 248619893. The next prime is 248619901. The reversal of 248619896 is 698916842.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248619893) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 248870 + ... + 249866.

It is an arithmetic number, because the mean of its divisors is an integer number (8585295).

Almost surely, 2248619896 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 248619896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274729440).

248619896 is an abundant number, since it is smaller than the sum of its proper divisors (300838984).

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

248619896 is a wasteful number, since it uses less digits than its factorization.

248619896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1140 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 53.

The square root of 248619896 is about 15767.6851820424. The cubic root of 248619896 is about 628.7991705450.

The spelling of 248619896 in words is "two hundred forty-eight million, six hundred nineteen thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 28 56 61 73 122 146 244 292 427 488 511 584 854 997 1022 1708 1994 2044 3416 3988 4088 4453 6979 7976 8906 13958 17812 27916 31171 35624 55832 60817 62342 72781 121634 124684 145562 243268 249368 291124 425719 486536 509467 582248 851438 1018934 1702876 2037868 3405752 4075736 4439641 8879282 17758564 31077487 35517128 62154974 124309948 248619896