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245504376 = 233213318461
BaseRepresentation
bin11101010001000…
…01100101111000
3122002221220200200
432220201211320
51000322120001
640210002200
76040516125
oct1650414570
9562856620
10245504376
11116643087
126a276360
133bb2a380
142486974c
1516847086
hexea21978

245504376 has 96 divisors (see below), whose sum is σ = 739240320. Its totient is φ = 73094400.

The previous prime is 245504353. The next prime is 245504383. The reversal of 245504376 is 673405542.

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 245504376.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 24786 + ... + 33246.

It is an arithmetic number, because the mean of its divisors is an integer number (7700420).

Almost surely, 2245504376 is an apocalyptic number.

245504376 is a gapful number since it is divisible by the number (26) 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 245504376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369620160).

245504376 is an abundant number, since it is smaller than the sum of its proper divisors (493735944).

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

245504376 is a wasteful number, since it uses less digits than its factorization.

245504376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8517 (or 8510 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 245504376 is about 15668.5792591415. The cubic root of 245504376 is about 626.1615740425.

The spelling of 245504376 in words is "two hundred forty-five million, five hundred four thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 31 36 39 52 62 72 78 93 104 117 124 156 186 234 248 279 312 372 403 468 558 744 806 936 1116 1209 1612 2232 2418 3224 3627 4836 7254 8461 9672 14508 16922 25383 29016 33844 50766 67688 76149 101532 109993 152298 203064 219986 262291 304596 329979 439972 524582 609192 659958 786873 879944 989937 1049164 1319916 1573746 1979874 2098328 2360619 2639832 3147492 3409783 3959748 4721238 6294984 6819566 7919496 9442476 10229349 13639132 18884952 20458698 27278264 30688047 40917396 61376094 81834792 122752188 245504376