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249044480 = 29597283
BaseRepresentation
bin11101101100000…
…01111000000000
3122100121202210122
432312001320000
51002223410410
640413515412
76112562126
oct1666017000
9570552718
10249044480
11118640893
126b4a2b68
133c7997c9
142510b916
1516ce5e55
hexed81e00

249044480 has 40 divisors (see below), whose sum is σ = 597129192. Its totient is φ = 99616768.

The previous prime is 249044479. The next prime is 249044503. The reversal of 249044480 is 84440942.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 249044480.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 46082 + ... + 51201.

Almost surely, 2249044480 is an apocalyptic number.

249044480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

249044480 is an abundant number, since it is smaller than the sum of its proper divisors (348084712).

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

249044480 is an frugal number, since it uses more digits than its factorization.

249044480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97306 (or 97290 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

The square root of 249044480 is about 15781.1431778563. The cubic root of 249044480 is about 629.1569137464.

The spelling of 249044480 in words is "two hundred forty-nine million, forty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 97283 194566 389132 486415 778264 972830 1556528 1945660 3113056 3891320 6226112 7782640 12452224 15565280 24904448 31130560 49808896 62261120 124522240 249044480