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249562940 = 225116716931
BaseRepresentation
bin11101110000000…
…00011100111100
3122101121002222212
432320000130330
51002342003230
640432555552
76120151514
oct1670003474
9571532885
10249562940
11118965370
126b6b2bb8
133c91b7a3
1425204844
1516d99895
hexee0073c

249562940 has 48 divisors (see below), whose sum is σ = 580293504. Its totient is φ = 89390400.

The previous prime is 249562933. The next prime is 249562987. The reversal of 249562940 is 49265942.

It is a happy number.

It is a super-2 number, since 2×2495629402 = 124563322042887200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6275 + ... + 23205.

It is an arithmetic number, because the mean of its divisors is an integer number (12089448).

Almost surely, 2249562940 is an apocalyptic number.

249562940 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 249562940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290146752).

249562940 is an abundant number, since it is smaller than the sum of its proper divisors (330730564).

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

249562940 is a wasteful number, since it uses less digits than its factorization.

249562940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17018 (or 17016 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 41.

The square root of 249562940 is about 15797.5612041859. The cubic root of 249562940 is about 629.5932034128.

The spelling of 249562940 in words is "two hundred forty-nine million, five hundred sixty-two thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 67 110 134 220 268 335 670 737 1340 1474 2948 3685 7370 14740 16931 33862 67724 84655 169310 186241 338620 372482 744964 931205 1134377 1862410 2268754 3724820 4537508 5671885 11343770 12478147 22687540 24956294 49912588 62390735 124781470 249562940