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46151406 = 23271572333
BaseRepresentation
bin1011000000001…
…1011011101110
310012211201211100
42300003123232
543303321111
64325103530
71100165130
oct260033356
9105751740
1046151406
1124062264
1213557ba6
13973b732
1461b5050
1540b9756
hex2c036ee

46151406 has 48 divisors (see below), whose sum is σ = 115056864. Its totient is φ = 13096512.

The previous prime is 46151389. The next prime is 46151407. The reversal of 46151406 is 60415164.

46151406 is a `hidden beast` number, since 4 + 615 + 1 + 40 + 6 = 666.

46151406 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 46151406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46151407) 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 23 ways as a sum of consecutive naturals, for example, 18616 + ... + 20948.

It is an arithmetic number, because the mean of its divisors is an integer number (2397018).

Almost surely, 246151406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46151406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57528432).

46151406 is an abundant number, since it is smaller than the sum of its proper divisors (68905458).

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

46151406 is a wasteful number, since it uses less digits than its factorization.

46151406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2505 (or 2502 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 46151406 is about 6793.4826120334. The cubic root of 46151406 is about 358.6974688671.

The spelling of 46151406 in words is "forty-six million, one hundred fifty-one thousand, four hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 157 314 471 942 1099 1413 2198 2333 2826 3297 4666 6594 6999 9891 13998 16331 19782 20997 32662 41994 48993 97986 146979 293958 366281 732562 1098843 2197686 2563967 3296529 5127934 6593058 7691901 15383802 23075703 46151406