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249030936 = 233472112331
BaseRepresentation
bin11101101011111…
…10100100011000
3122100121002020000
432311332210120
51002222442221
640413333000
76112504500
oct1665764430
9570532200
10249030936
111186316a0
126b497160
133c7935ab
1425106a00
1516ce1e26
hexed7e918

249030936 has 480 divisors, whose sum is σ = 953441280. Its totient is φ = 59875200.

The previous prime is 249030923. The next prime is 249030983. The reversal of 249030936 is 639030942.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 249030936.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8033241 + ... + 8033271.

It is an arithmetic number, because the mean of its divisors is an integer number (1986336).

Almost surely, 2249030936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249030936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476720640).

249030936 is an abundant number, since it is smaller than the sum of its proper divisors (704410344).

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

249030936 is a wasteful number, since it uses less digits than its factorization.

249030936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 249030936 is about 15780.7140522855. The cubic root of 249030936 is about 629.1455082125.

The spelling of 249030936 in words is "two hundred forty-nine million, thirty thousand, nine hundred thirty-six".