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249423024 = 24331167623
BaseRepresentation
bin11101101110111…
…10010010110000
3122101100000001210
432313132102300
51002323014044
640430000120
76116026554
oct1667362260
9571300053
10249423024
1111887a234
126b646040
133c89cbb6
14251a9864
1516d6d1b9
hexedde4b0

249423024 has 40 divisors (see below), whose sum is σ = 665132032. Its totient is φ = 80458560.

The previous prime is 249423023. The next prime is 249423037. The reversal of 249423024 is 420324942.

It is a junction number, because it is equal to n+sod(n) for n = 249422982 and 249423000.

It is not an unprimeable number, because it can be changed into a prime (249423023) 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, 82324 + ... + 85299.

Almost surely, 2249423024 is an apocalyptic number.

249423024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

249423024 is an abundant number, since it is smaller than the sum of its proper divisors (415709008).

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

249423024 is a wasteful number, since it uses less digits than its factorization.

249423024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167665 (or 167659 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 249423024 is about 15793.1321782603. The cubic root of 249423024 is about 629.4755221708.

Adding to 249423024 its reverse (420324942), we get a palindrome (669747966).

It can be divided in two parts, 24942 and 3024, that added together give a triangular number (27966 = T236).

The spelling of 249423024 in words is "two hundred forty-nine million, four hundred twenty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 1488 167623 335246 502869 670492 1005738 1340984 2011476 2681968 4022952 5196313 8045904 10392626 15588939 20785252 31177878 41570504 62355756 83141008 124711512 249423024