Search a number
-
+
46166136 = 23315112739
BaseRepresentation
bin1011000000011…
…1000001111000
310012212111000220
42300013001320
543304304021
64325300040
71100256102
oct260070170
9105774026
1046166136
1124072335
1213564620
139745353
1461ba572
1540bdcc6
hex2c07078

46166136 has 32 divisors (see below), whose sum is σ = 116188800. Its totient is φ = 15285600.

The previous prime is 46166119. The next prime is 46166137. The reversal of 46166136 is 63166164.

It is a super-3 number, since 3×461661363 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 46166097 and 46166106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46166137) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2746 + ... + 9993.

It is an arithmetic number, because the mean of its divisors is an integer number (3630900).

Almost surely, 246166136 is an apocalyptic number.

It is an amenable number.

46166136 is an abundant number, since it is smaller than the sum of its proper divisors (70022664).

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

46166136 is a wasteful number, since it uses less digits than its factorization.

46166136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12899 (or 12895 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The square root of 46166136 is about 6794.5666528484. The cubic root of 46166136 is about 358.7356262578.

The spelling of 46166136 in words is "forty-six million, one hundred sixty-six thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 24 151 302 453 604 906 1208 1812 3624 12739 25478 38217 50956 76434 101912 152868 305736 1923589 3847178 5770767 7694356 11541534 15388712 23083068 46166136