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249945990 = 23571995981
BaseRepresentation
bin11101110010111…
…01111110000110
3122102022120102220
432321131332012
51002441232430
640445113210
76123335340
oct1671357606
9572276386
10249945990
111190a7138
126b858806
133ca23c48
14252a4290
1516e23110
hexee5df86

249945990 has 64 divisors (see below), whose sum is σ = 689126400. Its totient is φ = 56833920.

The previous prime is 249945973. The next prime is 249946003. The reversal of 249945990 is 99549942.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38800 + ... + 44780.

It is an arithmetic number, because the mean of its divisors is an integer number (10767600).

Almost surely, 2249945990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249945990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344563200).

249945990 is an abundant number, since it is smaller than the sum of its proper divisors (439180410).

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

249945990 is a wasteful number, since it uses less digits than its factorization.

249945990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6197.

The product of its (nonzero) digits is 1049760, while the sum is 51.

The square root of 249945990 is about 15809.6802624215. The cubic root of 249945990 is about 629.9151561228.

The spelling of 249945990 in words is "two hundred forty-nine million, nine hundred forty-five thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 199 210 398 597 995 1194 1393 1990 2786 2985 4179 5970 5981 6965 8358 11962 13930 17943 20895 29905 35886 41790 41867 59810 83734 89715 125601 179430 209335 251202 418670 628005 1190219 1256010 2380438 3570657 5951095 7141314 8331533 11902190 16663066 17853285 24994599 35706570 41657665 49989198 83315330 124972995 249945990