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264391064 = 23723121757
BaseRepresentation
bin11111100001001…
…00100110011000
3200102111110100122
433300210212120
51020141003224
642122452412
76360200300
oct1760444630
9612443318
10264391064
11126272a13
1274664108
1342a10b22
1427184600
151832815e
hexfc24998

264391064 has 48 divisors (see below), whose sum is σ = 595298880. Its totient is φ = 109650240.

The previous prime is 264391051. The next prime is 264391067. The reversal of 264391064 is 460193462.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264391067) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1274 + ... + 23030.

It is an arithmetic number, because the mean of its divisors is an integer number (12402060).

Almost surely, 2264391064 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 264391064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297649440).

264391064 is an abundant number, since it is smaller than the sum of its proper divisors (330907816).

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

264391064 is a wasteful number, since it uses less digits than its factorization.

264391064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21808 (or 21797 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The square root of 264391064 is about 16260.1065187163. The cubic root of 264391064 is about 641.8234650790.

The spelling of 264391064 in words is "two hundred sixty-four million, three hundred ninety-one thousand, sixty-four".

Divisors: 1 2 4 7 8 14 28 31 49 56 62 98 124 196 217 248 392 434 868 1519 1736 3038 6076 12152 21757 43514 87028 152299 174056 304598 609196 674467 1066093 1218392 1348934 2132186 2697868 4264372 4721269 5395736 8528744 9442538 18885076 33048883 37770152 66097766 132195532 264391064