Search a number
-
+
46781820 = 22335412113
BaseRepresentation
bin1011001001110…
…1010101111100
310021000202121000
42302131111330
543434004240
64350410300
71105432101
oct262352574
9107022530
1046781820
1124452968
1213800990
1398cc667
1462daaa8
154191430
hex2c9d57c

46781820 has 96 divisors (see below), whose sum is σ = 149163840. Its totient is φ = 12165120.

The previous prime is 46781783. The next prime is 46781837. The reversal of 46781820 is 2818764.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21084 + ... + 23196.

It is an arithmetic number, because the mean of its divisors is an integer number (1553790).

Almost surely, 246781820 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 46781820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74581920).

46781820 is an abundant number, since it is smaller than the sum of its proper divisors (102382020).

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

46781820 is a wasteful number, since it uses less digits than its factorization.

46781820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2172 (or 2164 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 46781820 is about 6839.7236786291. The cubic root of 46781820 is about 360.3233206457.

The spelling of 46781820 in words is "forty-six million, seven hundred eighty-one thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 41 45 54 60 82 90 108 123 135 164 180 205 246 270 369 410 492 540 615 738 820 1107 1230 1476 1845 2113 2214 2460 3690 4226 4428 5535 6339 7380 8452 10565 11070 12678 19017 21130 22140 25356 31695 38034 42260 57051 63390 76068 86633 95085 114102 126780 173266 190170 228204 259899 285255 346532 380340 433165 519798 570510 779697 866330 1039596 1141020 1299495 1559394 1732660 2339091 2598990 3118788 3898485 4678182 5197980 7796970 9356364 11695455 15593940 23390910 46781820