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249430080 = 2635259823
BaseRepresentation
bin11101101111000…
…00000001000000
3122101100100202010
432313200001000
51002323230310
640430052520
76116056254
oct1667400100
9571310663
10249430080
11118884569
126b64a140
133c8a3183
14251ac264
1516d70320
hexede0040

249430080 has 56 divisors (see below), whose sum is σ = 791943552. Its totient is φ = 66514432.

The previous prime is 249430039. The next prime is 249430087. The reversal of 249430080 is 80034942.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (249430087) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 128952 + ... + 130871.

Almost surely, 2249430080 is an apocalyptic number.

249430080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

249430080 is an abundant number, since it is smaller than the sum of its proper divisors (542513472).

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

249430080 is a wasteful number, since it uses less digits than its factorization.

249430080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259843 (or 259833 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 249430080 is about 15793.3555649203. The cubic root of 249430080 is about 629.4814579198.

The spelling of 249430080 in words is "two hundred forty-nine million, four hundred thirty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 259823 519646 779469 1039292 1299115 1558938 2078584 2598230 3117876 3897345 4157168 5196460 6235752 7794690 8314336 10392920 12471504 15589380 16628672 20785840 24943008 31178760 41571680 49886016 62357520 83143360 124715040 249430080