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245606364 = 22332818093
BaseRepresentation
bin11101010001110…
…10011111011100
3122010011002121000
432220322133130
51000333400424
640212110300
76041422353
oct1650723734
9563132530
10245606364
11116702773
126a305390
133bb64913
142489499a
15168673c9
hexea3a7dc

245606364 has 48 divisors (see below), whose sum is σ = 639102240. Its totient is φ = 81567360.

The previous prime is 245606357. The next prime is 245606377. The reversal of 245606364 is 463606542.

245606364 is a `hidden beast` number, since 2 + 45 + 606 + 3 + 6 + 4 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26302 + ... + 34394.

It is an arithmetic number, because the mean of its divisors is an integer number (13314630).

Almost surely, 2245606364 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 245606364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319551120).

245606364 is an abundant number, since it is smaller than the sum of its proper divisors (393495876).

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

245606364 is a wasteful number, since it uses less digits than its factorization.

245606364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8387 (or 8379 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 245606364 is about 15671.8334600646. The cubic root of 245606364 is about 626.2482692053.

The spelling of 245606364 in words is "two hundred forty-five million, six hundred six thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 281 562 843 1124 1686 2529 3372 5058 7587 8093 10116 15174 16186 24279 30348 32372 48558 72837 97116 145674 218511 291348 437022 874044 2274133 4548266 6822399 9096532 13644798 20467197 27289596 40934394 61401591 81868788 122803182 245606364