Search a number
-
+
250113024 = 2103273877
BaseRepresentation
bin11101110100001…
…10110000000000
3122102122001120100
432322012300000
51003012104044
640452442400
76124632330
oct1672066000
9572561510
10250113024
11119200687
126b919400
133ca81c95
14253090c0
1516e57869
hexee86c00

250113024 has 132 divisors (see below), whose sum is σ = 825579664. Its totient is φ = 71442432.

The previous prime is 250113013. The next prime is 250113041. The reversal of 250113024 is 420311052.

250113024 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 250112988 and 250113006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62574 + ... + 66450.

Almost surely, 2250113024 is an apocalyptic number.

250113024 is a gapful number since it is divisible by the number (24) 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 250113024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412789832).

250113024 is an abundant number, since it is smaller than the sum of its proper divisors (575466640).

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

250113024 is a wasteful number, since it uses less digits than its factorization.

250113024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3910 (or 3889 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 250113024 is about 15814.9620296730. The cubic root of 250113024 is about 630.0554448557.

Adding to 250113024 its reverse (420311052), we get a palindrome (670424076).

The spelling of 250113024 in words is "two hundred fifty million, one hundred thirteen thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1024 1152 1344 1536 1792 2016 2304 2688 3072 3584 3877 4032 4608 5376 7168 7754 8064 9216 10752 11631 15508 16128 21504 23262 27139 31016 32256 34893 46524 54278 62032 64512 69786 81417 93048 108556 124064 139572 162834 186096 217112 244251 248128 279144 325668 372192 434224 488502 496256 558288 651336 744384 868448 977004 992512 1116576 1302672 1488768 1736896 1954008 1985024 2233152 2605344 2977536 3473792 3908016 3970048 4466304 5210688 5955072 6947584 7816032 8932608 10421376 11910144 13895168 15632064 17865216 20842752 27790336 31264128 35730432 41685504 62528256 83371008 125056512 250113024