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245805972 = 22329798941
BaseRepresentation
bin11101010011010…
…11001110010100
3122010112020101220
432221223032110
51000411242342
640220250340
76043213326
oct1651531624
9563466356
10245805972
11116829735
126a3a09b0
133bc04729
1424907616
15168a65ec
hexea6b394

245805972 has 48 divisors (see below), whose sum is σ = 600902400. Its totient is φ = 78099840.

The previous prime is 245805929. The next prime is 245805979. The reversal of 245805972 is 279508542.

245805972 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245805979) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23022 + ... + 31962.

It is an arithmetic number, because the mean of its divisors is an integer number (12518800).

Almost surely, 2245805972 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 245805972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300451200).

245805972 is an abundant number, since it is smaller than the sum of its proper divisors (355096428).

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

245805972 is a wasteful number, since it uses less digits than its factorization.

245805972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9056 (or 9054 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 245805972 is about 15678.2005345001. The cubic root of 245805972 is about 626.4178770736.

The spelling of 245805972 in words is "two hundred forty-five million, eight hundred five thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 12 29 58 79 87 116 158 174 237 316 348 474 948 2291 4582 6873 8941 9164 13746 17882 26823 27492 35764 53646 107292 259289 518578 706339 777867 1037156 1412678 1555734 2119017 2825356 3111468 4238034 8476068 20483831 40967662 61451493 81935324 122902986 245805972