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250480992 = 25317314951
BaseRepresentation
bin11101110111000…
…00100101100000
3122110022202022210
432323200211200
51003110342432
640504402120
76131024166
oct1673404540
9573282283
10250480992
11119432093
126ba76340
133cb80608
14253a3236
1516ecb8cc
hexeee0960

250480992 has 96 divisors (see below), whose sum is σ = 718792704. Its totient is φ = 76032000.

The previous prime is 250480973. The next prime is 250480999. The reversal of 250480992 is 299084052.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 250480992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (250480999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48117 + ... + 53067.

It is an arithmetic number, because the mean of its divisors is an integer number (7487424).

Almost surely, 2250480992 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 250480992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359396352).

250480992 is an abundant number, since it is smaller than the sum of its proper divisors (468311712).

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

250480992 is a wasteful number, since it uses less digits than its factorization.

250480992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5012 (or 5004 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 250480992 is about 15826.5912944007. The cubic root of 250480992 is about 630.3642740883.

The spelling of 250480992 in words is "two hundred fifty million, four hundred eighty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 32 34 48 51 62 68 93 96 102 124 136 186 204 248 272 372 408 496 527 544 744 816 992 1054 1488 1581 1632 2108 2976 3162 4216 4951 6324 8432 9902 12648 14853 16864 19804 25296 29706 39608 50592 59412 79216 84167 118824 153481 158432 168334 237648 252501 306962 336668 460443 475296 505002 613924 673336 920886 1010004 1227848 1346672 1841772 2020008 2455696 2609177 2693344 3683544 4040016 4911392 5218354 7367088 7827531 8080032 10436708 14734176 15655062 20873416 31310124 41746832 62620248 83493664 125240496 250480992