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45764730 = 23351119811
BaseRepresentation
bin1010111010010…
…1000001111010
310012010002102000
42232211001322
543203432410
64312521430
71063664604
oct256450172
9105102360
1045764730
11239187a0
12133b0276
13963472b
146114174
15403edc0
hex2ba507a

45764730 has 128 divisors (see below), whose sum is σ = 140313600. Its totient is φ = 10497600.

The previous prime is 45764717. The next prime is 45764737. The reversal of 45764730 is 3746754.

45764730 is a `hidden beast` number, since 4 + 5 + 7 + 647 + 3 + 0 = 666.

45764730 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45764737) 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 63 ways as a sum of consecutive naturals, for example, 56025 + ... + 56835.

It is an arithmetic number, because the mean of its divisors is an integer number (1096200).

Almost surely, 245764730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45764730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70156800).

45764730 is an abundant number, since it is smaller than the sum of its proper divisors (94548870).

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

45764730 is a wasteful number, since it uses less digits than its factorization.

45764730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 45764730 is about 6764.9634145352. The cubic root of 45764730 is about 357.6928849747.

The spelling of 45764730 in words is "forty-five million, seven hundred sixty-four thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 19 22 27 30 33 38 45 54 55 57 66 90 95 99 110 114 135 165 171 190 198 209 270 285 297 330 342 418 495 513 570 594 627 811 855 990 1026 1045 1254 1485 1622 1710 1881 2090 2433 2565 2970 3135 3762 4055 4866 5130 5643 6270 7299 8110 8921 9405 11286 12165 14598 15409 17842 18810 21897 24330 26763 28215 30818 36495 43794 44605 46227 53526 56430 72990 77045 80289 89210 92454 109485 133815 138681 154090 160578 169499 218970 231135 240867 267630 277362 338998 401445 416043 462270 481734 508497 693405 802890 832086 847495 1016994 1204335 1386810 1525491 1694990 2080215 2408670 2542485 3050982 4160430 4576473 5084970 7627455 9152946 15254910 22882365 45764730