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250381032 = 2331117471187
BaseRepresentation
bin11101110110010…
…00001011101000
3122110010200012120
432323020023220
51003044143112
640502311240
76130126566
oct1673101350
9573120176
10250381032
11119373a80
126ba28520
133cb46c75
1425378a36
1516eabe8c
hexeec82e8

250381032 has 128 divisors (see below), whose sum is σ = 739031040. Its totient is φ = 69831680.

The previous prime is 250380989. The next prime is 250381039. The reversal of 250381032 is 230183052.

250381032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2503810323 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 250380993 and 250381011.

It is not an unprimeable number, because it can be changed into a prime (250381039) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 210343 + ... + 211529.

It is an arithmetic number, because the mean of its divisors is an integer number (5773680).

Almost surely, 2250381032 is an apocalyptic number.

250381032 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 250381032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369515520).

250381032 is an abundant number, since it is smaller than the sum of its proper divisors (488650008).

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

250381032 is a wasteful number, since it uses less digits than its factorization.

250381032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1271 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 250381032 is about 15823.4330029864. The cubic root of 250381032 is about 630.2804093125.

The spelling of 250381032 in words is "two hundred fifty million, three hundred eighty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 47 51 66 68 88 94 102 132 136 141 187 188 204 264 282 374 376 408 517 561 564 748 799 1034 1122 1128 1187 1496 1551 1598 2068 2244 2374 2397 3102 3196 3561 4136 4488 4748 4794 6204 6392 7122 8789 9496 9588 12408 13057 14244 17578 19176 20179 26114 26367 28488 35156 39171 40358 52228 52734 55789 60537 70312 78342 80716 104456 105468 111578 121074 156684 161432 167367 210936 221969 223156 242148 313368 334734 443938 446312 484296 613679 665907 669468 887876 948413 1227358 1331814 1338936 1775752 1841037 1896826 2454716 2663628 2845239 3682074 3793652 4909432 5327256 5690478 7364148 7587304 10432543 11380956 14728296 20865086 22761912 31297629 41730172 62595258 83460344 125190516 250381032