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249269792 = 2527912
BaseRepresentation
bin11101101101110…
…00111000100000
3122101001012212112
432312320320200
51002303113132
640422414452
76114521042
oct1666707040
9571035775
10249269792
111187850a2
126b591428
133c848225
1425169a92
1516d3cab2
hexedb8e20

249269792 has 18 divisors (see below), whose sum is σ = 490925799. Its totient is φ = 124590240.

The previous prime is 249269767. The next prime is 249269803. The reversal of 249269792 is 297962942.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

249269792 is digitally balanced in base 2, 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., 124634896 + 124634896 = 11164^2 + 11164^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=11164.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 249269792.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 87917 + ... + 90707.

Almost surely, 2249269792 is an apocalyptic number.

It is an amenable number.

249269792 is a deficient number, since it is larger than the sum of its proper divisors (241656007).

249269792 is an frugal number, since it uses more digits than its factorization.

249269792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5592 (or 2793 counting only the distinct ones).

The product of its digits is 979776, while the sum is 50.

The square root of 249269792 is about 15788.2802103332. The cubic root of 249269792 is about 629.3465905391.

Multiplying 249269792 by its sum of digits (50), we get a square (12463489600 = 1116402).

The spelling of 249269792 in words is "two hundred forty-nine million, two hundred sixty-nine thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 16 32 2791 5582 11164 22328 44656 89312 7789681 15579362 31158724 62317448 124634896 249269792