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249390072 = 23323463751
BaseRepresentation
bin11101101110101…
…10001111111000
3122101021022212100
432313112033320
51002320440242
640425143400
76115531521
oct1667261770
9571238770
10249390072
111188574a8
126b62ab60
133c88abb9
142519b848
1516d6354c
hexedd63f8

249390072 has 24 divisors (see below), whose sum is σ = 675431640. Its totient is φ = 83130000.

The previous prime is 249390061. The next prime is 249390073. The reversal of 249390072 is 270093942.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249390073) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1731804 + ... + 1731947.

It is an arithmetic number, because the mean of its divisors is an integer number (28142985).

Almost surely, 2249390072 is an apocalyptic number.

It is an amenable number.

249390072 is an abundant number, since it is smaller than the sum of its proper divisors (426041568).

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

249390072 is a wasteful number, since it uses less digits than its factorization.

249390072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3463763 (or 3463756 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 249390072 is about 15792.0889055248. The cubic root of 249390072 is about 629.4478003369.

The spelling of 249390072 in words is "two hundred forty-nine million, three hundred ninety thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 3463751 6927502 10391253 13855004 20782506 27710008 31173759 41565012 62347518 83130024 124695036 249390072