Search a number
-
+
249575392 = 251123291063
BaseRepresentation
bin11101110000000…
…11011111100000
3122101121202002001
432320003133200
51002342403032
640433133344
76120233023
oct1670033740
9571552061
10249575392
11118973760
126b6ba254
133c924361
14252091ba
1516d9d3e7
hexee037e0

249575392 has 96 divisors (see below), whose sum is σ = 579156480. Its totient is φ = 104670720.

The previous prime is 249575341. The next prime is 249575401. The reversal of 249575392 is 293575942.

249575392 is digitally balanced in base 2 and base 3, because in such bases 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 (46).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234253 + ... + 235315.

It is an arithmetic number, because the mean of its divisors is an integer number (6032880).

Almost surely, 2249575392 is an apocalyptic number.

249575392 is a gapful number since it is divisible by the number (22) 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 249575392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289578240).

249575392 is an abundant number, since it is smaller than the sum of its proper divisors (329581088).

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

249575392 is a wasteful number, since it uses less digits than its factorization.

249575392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136 (or 1128 counting only the distinct ones).

The product of its digits is 680400, while the sum is 46.

The square root of 249575392 is about 15797.9553107356. The cubic root of 249575392 is about 629.6036744709.

The spelling of 249575392 in words is "two hundred forty-nine million, five hundred seventy-five thousand, three hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 23 29 32 44 46 58 88 92 116 176 184 232 253 319 352 368 464 506 638 667 736 928 1012 1063 1276 1334 2024 2126 2552 2668 4048 4252 5104 5336 7337 8096 8504 10208 10672 11693 14674 17008 21344 23386 24449 29348 30827 34016 46772 48898 58696 61654 93544 97796 117392 123308 187088 195592 234784 246616 268939 339097 374176 391184 493232 537878 678194 709021 782368 986464 1075756 1356388 1418042 2151512 2712776 2836084 4303024 5425552 5672168 7799231 8606048 10851104 11344336 15598462 22688672 31196924 62393848 124787696 249575392