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46468947 = 372324789
BaseRepresentation
bin1011000101000…
…0111101010011
310020102212102010
42301100331103
543344001242
64335554003
71102656660
oct261207523
9106385363
1046468947
1124259898
121368b903
139820125
146258a67
15412d89c
hex2c50f53

46468947 has 48 divisors (see below), whose sum is σ = 76446720. Its totient is φ = 24579456.

The previous prime is 46468859. The next prime is 46468957. The reversal of 46468947 is 74986464.

46468947 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 46468947 - 27 = 46468819 is a prime.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

Its product of digits (1161216) is a multiple of the sum of its prime factors (192).

It is a junction number, because it is equal to n+sod(n) for n = 46468896 and 46468905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46468957) 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 47 ways as a sum of consecutive naturals, for example, 522079 + ... + 522167.

It is an arithmetic number, because the mean of its divisors is an integer number (1592640).

Almost surely, 246468947 is an apocalyptic number.

46468947 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

46468947 is a deficient number, since it is larger than the sum of its proper divisors (29977773).

46468947 is a wasteful number, since it uses less digits than its factorization.

46468947 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 169 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 48.

The square root of 46468947 is about 6816.8135517997. The cubic root of 46468947 is about 359.5182522233.

The spelling of 46468947 in words is "forty-six million, four hundred sixty-eight thousand, nine hundred forty-seven".

Divisors: 1 3 7 21 23 47 69 89 141 161 267 329 483 529 623 987 1081 1587 1869 2047 3243 3703 4183 6141 7567 11109 12549 14329 22701 24863 29281 42987 47081 74589 87843 96209 141243 174041 288627 329567 522123 673463 988701 2020389 2212807 6638421 15489649 46468947