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249875000 = 23561999
BaseRepresentation
bin11101110010011…
…00101000111000
3122102011222001122
432321030220320
51002432000000
640443404412
76122621354
oct1671145070
9572158048
10249875000
11119058871
126b823708
133c9ca83b
1425286464
1516e0c085
hexee4ca38

249875000 has 56 divisors (see below), whose sum is σ = 585930000. Its totient is φ = 99900000.

The previous prime is 249874987. The next prime is 249875009. The reversal of 249875000 is 578942.

It is a happy number.

249875000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249875009) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 124001 + ... + 125999.

Almost surely, 2249875000 is an apocalyptic number.

249875000 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 249875000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292965000).

249875000 is an abundant number, since it is smaller than the sum of its proper divisors (336055000).

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

249875000 is an frugal number, since it uses more digits than its factorization.

249875000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2035 (or 2006 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 249875000 is about 15807.4349595372. The cubic root of 249875000 is about 629.8555140228.

The spelling of 249875000 in words is "two hundred forty-nine million, eight hundred seventy-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 1999 2500 3125 3998 5000 6250 7996 9995 12500 15625 15992 19990 25000 31250 39980 49975 62500 79960 99950 125000 199900 249875 399800 499750 999500 1249375 1999000 2498750 4997500 6246875 9995000 12493750 24987500 31234375 49975000 62468750 124937500 249875000