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249070040 = 23510161651
BaseRepresentation
bin11101101100010…
…00000111011000
3122100200001212022
432312020013120
51002230220130
640414234012
76113026502
oct1666100730
9570601768
10249070040
1111865900a
126b4b5908
133c7a832b
1425116d72
1516ced7e5
hexed881d8

249070040 has 32 divisors (see below), whose sum is σ = 565965360. Its totient is φ = 98640000.

The previous prime is 249069991. The next prime is 249070099. The reversal of 249070040 is 40070942.

It is a junction number, because it is equal to n+sod(n) for n = 249069991 and 249070009.

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 7 ways as a sum of consecutive naturals, for example, 26786 + ... + 34865.

Almost surely, 2249070040 is an apocalyptic number.

249070040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

249070040 is an abundant number, since it is smaller than the sum of its proper divisors (316895320).

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

249070040 is a wasteful number, since it uses less digits than its factorization.

249070040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61763 (or 61759 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 249070040 is about 15781.9529843426. The cubic root of 249070040 is about 629.1784369439.

The spelling of 249070040 in words is "two hundred forty-nine million, seventy thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 101 202 404 505 808 1010 2020 4040 61651 123302 246604 308255 493208 616510 1233020 2466040 6226751 12453502 24907004 31133755 49814008 62267510 124535020 249070040