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45639990 = 2335113127
BaseRepresentation
bin1010111000011…
…0100100110110
310011212202022000
42232012210312
543140434430
64310120130
71062635124
oct256064466
9104782260
1045639990
1123843000
1213350046
1395bca16
1460c0914
154017e60
hex2b86936

45639990 has 128 divisors (see below), whose sum is σ = 134922240. Its totient is φ = 10977120.

The previous prime is 45639989. The next prime is 45640003. The reversal of 45639990 is 9993654.

It is a happy number.

45639990 is a `hidden beast` number, since 4 + 5 + 639 + 9 + 9 + 0 = 666.

45639990 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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, 359307 + ... + 359433.

It is an arithmetic number, because the mean of its divisors is an integer number (1054080).

Almost surely, 245639990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45639990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67461120).

45639990 is an abundant number, since it is smaller than the sum of its proper divisors (89282250).

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

45639990 is a wasteful number, since it uses less digits than its factorization.

45639990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 45639990 is about 6755.7375615102. The cubic root of 45639990 is about 357.3676038346.

The spelling of 45639990 in words is "forty-five million, six hundred thirty-nine thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 121 127 135 165 198 242 254 270 297 330 363 381 495 594 605 635 726 762 990 1089 1143 1210 1270 1331 1397 1485 1815 1905 2178 2286 2662 2794 2970 3267 3429 3630 3810 3993 4191 5445 5715 6534 6655 6858 6985 7986 8382 10890 11430 11979 12573 13310 13970 15367 16335 17145 19965 20955 23958 25146 30734 32670 34290 35937 37719 39930 41910 46101 59895 62865 71874 75438 76835 92202 119790 125730 138303 153670 169037 179685 188595 230505 276606 338074 359370 377190 414909 461010 507111 691515 829818 845185 1014222 1383030 1521333 1690370 2074545 2535555 3042666 4149090 4563999 5071110 7606665 9127998 15213330 22819995 45639990