Search a number
-
+
46332990 = 232511172753
BaseRepresentation
bin1011000010111…
…1110000111110
310020011221220200
42300233300332
543330123430
64333024330
71101552414
oct260576076
9106157820
1046332990
1124176730
12136250a6
1397a3292
1462212b4
154103460
hex2c2fc3e

46332990 has 96 divisors (see below), whose sum is σ = 139198176. Its totient is φ = 10567680.

The previous prime is 46332983. The next prime is 46333013. The reversal of 46332990 is 9923364.

It is a happy number.

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, 15454 + ... + 18206.

It is an arithmetic number, because the mean of its divisors is an integer number (1449981).

Almost surely, 246332990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46332990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69599088).

46332990 is an abundant number, since it is smaller than the sum of its proper divisors (92865186).

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

46332990 is a wasteful number, since it uses less digits than its factorization.

46332990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2794 (or 2791 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 46332990 is about 6806.8340658488. The cubic root of 46332990 is about 359.1672883126.

The spelling of 46332990 in words is "forty-six million, three hundred thirty-two thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 17 18 22 30 33 34 45 51 55 66 85 90 99 102 110 153 165 170 187 198 255 306 330 374 495 510 561 765 935 990 1122 1530 1683 1870 2753 2805 3366 5506 5610 8259 8415 13765 16518 16830 24777 27530 30283 41295 46801 49554 60566 82590 90849 93602 123885 140403 151415 181698 234005 247770 272547 280806 302830 421209 454245 468010 514811 545094 702015 842418 908490 1029622 1362735 1404030 1544433 2106045 2574055 2725470 3088866 4212090 4633299 5148110 7722165 9266598 15444330 23166495 46332990