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249482140 = 2251732539
BaseRepresentation
bin11101101111011…
…00101110011100
3122101110000011021
432313230232130
51002331412030
640431133524
76116364115
oct1667545634
9571400137
10249482140
1111890a696
126b6742a4
133c8c0a8b
14251c320c
1516d8097a
hexedecb9c

249482140 has 48 divisors (see below), whose sum is σ = 556869600. Its totient is φ = 93885696.

The previous prime is 249482137. The next prime is 249482153. The reversal of 249482140 is 41284942.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 249482096 and 249482105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96991 + ... + 99529.

It is an arithmetic number, because the mean of its divisors is an integer number (11601450).

Almost surely, 2249482140 is an apocalyptic number.

249482140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249482140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278434800).

249482140 is an abundant number, since it is smaller than the sum of its proper divisors (307387460).

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

249482140 is a wasteful number, since it uses less digits than its factorization.

249482140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2599 (or 2563 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 249482140 is about 15795.0036403921. The cubic root of 249482140 is about 629.5252491164.

The spelling of 249482140 in words is "two hundred forty-nine million, four hundred eighty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 289 340 578 1156 1445 2539 2890 4913 5078 5780 9826 10156 12695 19652 24565 25390 43163 49130 50780 86326 98260 172652 215815 431630 733771 863260 1467542 2935084 3668855 7337710 12474107 14675420 24948214 49896428 62370535 124741070 249482140