Search a number
-
+
45468630 = 23253143379
BaseRepresentation
bin1010110101110…
…0101111010110
310011120001020100
42231130233112
543114444010
64302314530
71061322414
oct255345726
9104501210
1045468630
1123736289
1213288a46
13955ca1c
1460782b4
153ed22c0
hex2b5cbd6

45468630 has 96 divisors (see below), whose sum is σ = 125199360. Its totient is φ = 11430720.

The previous prime is 45468617. The next prime is 45468641. The reversal of 45468630 is 3686454.

45468630 is a `hidden beast` number, since 4 + 546 + 86 + 30 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119781 + ... + 120159.

It is an arithmetic number, because the mean of its divisors is an integer number (1304160).

Almost surely, 245468630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45468630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62599680).

45468630 is an abundant number, since it is smaller than the sum of its proper divisors (79730730).

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

45468630 is a wasteful number, since it uses less digits than its factorization.

45468630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 45468630 is about 6743.0430815767. The cubic root of 45468630 is about 356.9197851932.

The spelling of 45468630 in words is "forty-five million, four hundred sixty-eight thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 43 45 62 86 90 93 129 155 186 215 258 279 310 379 387 430 465 558 645 758 774 930 1137 1290 1333 1395 1895 1935 2274 2666 2790 3411 3790 3870 3999 5685 6665 6822 7998 11370 11749 11997 13330 16297 17055 19995 23498 23994 32594 34110 35247 39990 48891 58745 59985 70494 81485 97782 105741 117490 119970 146673 162970 176235 211482 244455 293346 352470 488910 505207 528705 733365 1010414 1057410 1466730 1515621 2526035 3031242 4546863 5052070 7578105 9093726 15156210 22734315 45468630