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264949728 = 25310872539
BaseRepresentation
bin11111100101011…
…00111111100000
3200110112211200220
433302230333200
51020311342403
642142443040
76365015121
oct1762547740
9613484626
10264949728
1112661471a
1274893480
1342b781b4
142728c048
15183d8953
hexfcacfe0

264949728 has 48 divisors (see below), whose sum is σ = 696407040. Its totient is φ = 88200576.

The previous prime is 264949721. The next prime is 264949739. The reversal of 264949728 is 827949462.

264949728 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264949721) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 103083 + ... + 105621.

It is an arithmetic number, because the mean of its divisors is an integer number (14508480).

Almost surely, 2264949728 is an apocalyptic number.

It is an amenable number.

264949728 is an abundant number, since it is smaller than the sum of its proper divisors (431457312).

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

264949728 is a wasteful number, since it uses less digits than its factorization.

264949728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3639 (or 3631 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 51.

The square root of 264949728 is about 16277.2764306563. The cubic root of 264949728 is about 642.2752093047.

The spelling of 264949728 in words is "two hundred sixty-four million, nine hundred forty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1087 2174 2539 3261 4348 5078 6522 7617 8696 10156 13044 15234 17392 20312 26088 30468 34784 40624 52176 60936 81248 104352 121872 243744 2759893 5519786 8279679 11039572 16559358 22079144 33118716 44158288 66237432 88316576 132474864 264949728