Search a number
-
+
46863090 = 2335374691
BaseRepresentation
bin1011001011000…
…1001011110010
310021011220002000
42302301023302
543444104330
64352234430
71106221041
oct262611362
9107156060
1046863090
11244a8a2a
121383ba16
13992a651
14631c558
1541aa560
hex2cb12f2

46863090 has 64 divisors (see below), whose sum is σ = 128373120. Its totient is φ = 12156480.

The previous prime is 46863079. The next prime is 46863097. The reversal of 46863090 is 9036864.

46863090 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×468630902 = 4392298408696200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (46863097) 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 31 ways as a sum of consecutive naturals, for example, 7645 + ... + 12335.

It is an arithmetic number, because the mean of its divisors is an integer number (2005830).

Almost surely, 246863090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46863090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64186560).

46863090 is an abundant number, since it is smaller than the sum of its proper divisors (81510030).

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

46863090 is a wasteful number, since it uses less digits than its factorization.

46863090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4744 (or 4738 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 46863090 is about 6845.6621301376. The cubic root of 46863090 is about 360.5318527593.

It can be divided in two parts, 4686 and 3090, that added together give a 5-th power (7776 = 65).

The spelling of 46863090 in words is "forty-six million, eight hundred sixty-three thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 45 54 74 90 111 135 185 222 270 333 370 555 666 999 1110 1665 1998 3330 4691 4995 9382 9990 14073 23455 28146 42219 46910 70365 84438 126657 140730 173567 211095 253314 347134 422190 520701 633285 867835 1041402 1266570 1562103 1735670 2603505 3124206 4686309 5207010 7810515 9372618 15621030 23431545 46863090