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245976064 = 210892699
BaseRepresentation
bin11101010100101…
…00110000000000
3122010211212201121
432222110300000
51000432213224
640224042024
76044522245
oct1652246000
9563755647
10245976064
11116935504
126a463314
133bc63c89
142494d5cc
15168dbbe4
hexea94c00

245976064 has 44 divisors (see below), whose sum is σ = 497421000. Its totient is φ = 121561088.

The previous prime is 245976047. The next prime is 245976079. The reversal of 245976064 is 460679542.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 245976064.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 89787 + ... + 92485.

Almost surely, 2245976064 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 245976064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248710500).

245976064 is an abundant number, since it is smaller than the sum of its proper divisors (251444936).

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

245976064 is an equidigital number, since it uses as much as digits as its factorization.

245976064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2808 (or 2790 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 43.

The square root of 245976064 is about 15683.6240709856. The cubic root of 245976064 is about 626.5623326127.

The spelling of 245976064 in words is "two hundred forty-five million, nine hundred seventy-six thousand, sixty-four".

Divisors: 1 2 4 8 16 32 64 89 128 178 256 356 512 712 1024 1424 2699 2848 5398 5696 10796 11392 21592 22784 43184 45568 86368 91136 172736 240211 345472 480422 690944 960844 1381888 1921688 2763776 3843376 7686752 15373504 30747008 61494016 122988032 245976064