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245631096 = 233317151443
BaseRepresentation
bin11101010010000…
…00100001111000
3122010012100112000
432221000201320
51000340143341
640212421000
76041554434
oct1651004170
9563170460
10245631096
1111671a307
126a317760
133bb72c59
142489d9c4
151686e8b6
hexea40878

245631096 has 128 divisors (see below), whose sum is σ = 728870400. Its totient is φ = 76377600.

The previous prime is 245631083. The next prime is 245631137. The reversal of 245631096 is 690136542.

It is a happy number.

245631096 is a `hidden beast` number, since 2 + 4 + 563 + 1 + 0 + 96 = 666.

It is a super-2 number, since 2×2456310962 = 120669270644322432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 245631096.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 554251 + ... + 554693.

It is an arithmetic number, because the mean of its divisors is an integer number (5694300).

Almost surely, 2245631096 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 245631096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364435200).

245631096 is an abundant number, since it is smaller than the sum of its proper divisors (483239304).

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

245631096 is a wasteful number, since it uses less digits than its factorization.

245631096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 245631096 is about 15672.6224991225. The cubic root of 245631096 is about 626.2692890900.

The spelling of 245631096 in words is "two hundred forty-five million, six hundred thirty-one thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 151 153 204 216 302 306 408 443 453 459 604 612 886 906 918 1208 1224 1329 1359 1772 1812 1836 2567 2658 2718 3544 3624 3672 3987 4077 5134 5316 5436 7531 7701 7974 8154 10268 10632 10872 11961 15062 15402 15948 16308 20536 22593 23103 23922 30124 30804 31896 32616 45186 46206 47844 60248 61608 66893 67779 69309 90372 92412 95688 133786 135558 138618 180744 184824 200679 203337 267572 271116 277236 401358 406674 535144 542232 554472 602037 802716 813348 1137181 1204074 1605432 1626696 1806111 2274362 2408148 3411543 3612222 4548724 4816296 6823086 7224444 9097448 10234629 13646172 14448888 20469258 27292344 30703887 40938516 61407774 81877032 122815548 245631096