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249996348 = 22337330683
BaseRepresentation
bin11101110011010…
…10010000111100
3122102102010112000
432321222100330
51002444340343
640450142300
76123635220
oct1671522074
9572363460
10249996348
11119130a58
126b881990
133ca40b44
14252b8780
1516e32ed3
hexee6a43c

249996348 has 48 divisors (see below), whose sum is σ = 740732160. Its totient is φ = 71427312.

The previous prime is 249996343. The next prime is 249996353. The reversal of 249996348 is 843699942.

It is an interprime number because it is at equal distance from previous prime (249996343) and next prime (249996353).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 249996294 and 249996303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249996343) 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, 164586 + ... + 166097.

It is an arithmetic number, because the mean of its divisors is an integer number (15431920).

Almost surely, 2249996348 is an apocalyptic number.

249996348 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

249996348 is an abundant number, since it is smaller than the sum of its proper divisors (490735812).

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

249996348 is a wasteful number, since it uses less digits than its factorization.

249996348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330703 (or 330695 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The square root of 249996348 is about 15811.2728140400. The cubic root of 249996348 is about 629.9574574447.

The spelling of 249996348 in words is "two hundred forty-nine million, nine hundred ninety-six thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 330683 661366 992049 1322732 1984098 2314781 2976147 3968196 4629562 5952294 6944343 8928441 9259124 11904588 13888686 17856882 20833029 27777372 35713764 41666058 62499087 83332116 124998174 249996348