Search a number
-
+
46668200 = 2352233341
BaseRepresentation
bin1011001000000…
…1100110101000
310020210222201212
42302001212220
543421340300
64344132252
71104446615
oct262014650
9106728655
1046668200
1124385567
1213767088
13988ca27
1462ab50c
15416c935
hex2c819a8

46668200 has 24 divisors (see below), whose sum is σ = 108504030. Its totient is φ = 18667200.

The previous prime is 46668187. The next prime is 46668203. The reversal of 46668200 is 286664.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 36312676 + 10355524 = 6026^2 + 3218^2 .

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (46668203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 116471 + ... + 116870.

Almost surely, 246668200 is an apocalyptic number.

46668200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46668200 is an abundant number, since it is smaller than the sum of its proper divisors (61835830).

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

46668200 is a wasteful number, since it uses less digits than its factorization.

46668200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233357 (or 233348 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 46668200 is about 6831.4127382263. The cubic root of 46668200 is about 360.0313758662.

The spelling of 46668200 in words is "forty-six million, six hundred sixty-eight thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 233341 466682 933364 1166705 1866728 2333410 4666820 5833525 9333640 11667050 23334100 46668200