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249020424 = 23323458617
BaseRepresentation
bin11101101011111…
…00000000001000
3122100120112210200
432311330000020
51002222123144
640413212200
76112432032
oct1665740010
9570515720
10249020424
11118624804
126b491060
133c78b883
1425102c52
1516cddc69
hexed7c008

249020424 has 24 divisors (see below), whose sum is σ = 674430510. Its totient is φ = 83006784.

The previous prime is 249020417. The next prime is 249020467. The reversal of 249020424 is 424020942.

249020424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 199317924 + 49702500 = 14118^2 + 7050^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×2490204242 = 124022343138279552, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1729237 + ... + 1729380.

Almost surely, 2249020424 is an apocalyptic number.

249020424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

249020424 is an abundant number, since it is smaller than the sum of its proper divisors (425410086).

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

249020424 is a wasteful number, since it uses less digits than its factorization.

249020424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3458629 (or 3458622 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 249020424 is about 15780.3809839940. The cubic root of 249020424 is about 629.1366556703.

The spelling of 249020424 in words is "two hundred forty-nine million, twenty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 3458617 6917234 10375851 13834468 20751702 27668936 31127553 41503404 62255106 83006808 124510212 249020424