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745045264 = 24172923257
BaseRepresentation
bin101100011010000…
…111110100010000
31220220221012222001
4230122013310100
53011212422024
6201532523344
724314531425
oct5432076420
91826835861
10745045264
11352616597
12189620554
13bb4814b2
1470d41d4c
154561e244
hex2c687d10

745045264 has 60 divisors (see below), whose sum is σ = 1583446644. Its totient is φ = 338415616.

The previous prime is 745045261. The next prime is 745045303. The reversal of 745045264 is 462540547.

It can be written as a sum of positive squares in 6 ways, for example, as 97851664 + 647193600 = 9892^2 + 25440^2 .

It is not an unprimeable number, because it can be changed into a prime (745045261) 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, 227124 + ... + 230380.

Almost surely, 2745045264 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 745045264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791723322).

745045264 is an abundant number, since it is smaller than the sum of its proper divisors (838401380).

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

745045264 is a wasteful number, since it uses less digits than its factorization.

745045264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3340 (or 3305 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 37.

The square root of 745045264 is about 27295.5172876427. The cubic root of 745045264 is about 906.5551292532. Note that the first 3 decimals are identical.

The spelling of 745045264 in words is "seven hundred forty-five million, forty-five thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 17 29 34 58 68 116 136 232 272 464 493 841 986 1682 1972 3257 3364 3944 6514 6728 7888 13028 13456 14297 26056 28594 52112 55369 57188 94453 110738 114376 188906 221476 228752 377812 442952 755624 885904 1511248 1605701 2739137 3211402 5478274 6422804 10956548 12845608 21913096 25691216 43826192 46565329 93130658 186261316 372522632 745045264