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249953740 = 225191135821
BaseRepresentation
bin11101110010111…
…11110111001100
3122102022222001221
432321133313030
51002442004430
640445213124
76123400051
oct1671376714
9572288057
10249953740
11119101a43
126b8611a4
133ca2762a
14252a7028
1516e2557a
hexee5fdcc

249953740 has 48 divisors (see below), whose sum is σ = 557514720. Its totient is φ = 93864960.

The previous prime is 249953707. The next prime is 249953747. The reversal of 249953740 is 47359942.

It is not an unprimeable number, because it can be changed into a prime (249953747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40030 + ... + 45850.

It is an arithmetic number, because the mean of its divisors is an integer number (11614890).

Almost surely, 2249953740 is an apocalyptic number.

249953740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249953740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278757360).

249953740 is an abundant number, since it is smaller than the sum of its proper divisors (307560980).

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

249953740 is a wasteful number, since it uses less digits than its factorization.

249953740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5962 (or 5960 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 43.

The square root of 249953740 is about 15809.9253635177. The cubic root of 249953740 is about 629.9216665854.

The spelling of 249953740 in words is "two hundred forty-nine million, nine hundred fifty-three thousand, seven hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 113 190 226 380 452 565 1130 2147 2260 4294 5821 8588 10735 11642 21470 23284 29105 42940 58210 110599 116420 221198 442396 552995 657773 1105990 1315546 2211980 2631092 3288865 6577730 12497687 13155460 24995374 49990748 62488435 124976870 249953740