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46329668 = 22711359419
BaseRepresentation
bin1011000010111…
…0111101000100
310020011210100122
42300232331010
543330022133
64333001112
71101536630
oct260567504
9106153318
1046329668
1124174190
1213623198
1397a1908
14621ddc0
154102498
hex2c2ef44

46329668 has 48 divisors (see below), whose sum is σ = 101606400. Its totient is φ = 17957280.

The previous prime is 46329667. The next prime is 46329707. The reversal of 46329668 is 86692364.

46329668 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (46329667) 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 15 ways as a sum of consecutive naturals, for example, 110363 + ... + 110781.

It is an arithmetic number, because the mean of its divisors is an integer number (2116800).

Almost surely, 246329668 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46329668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50803200).

46329668 is an abundant number, since it is smaller than the sum of its proper divisors (55276732).

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

46329668 is a wasteful number, since it uses less digits than its factorization.

46329668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 798 counting only the distinct ones).

The product of its digits is 373248, while the sum is 44.

The square root of 46329668 is about 6806.5900420108. The cubic root of 46329668 is about 359.1587042041.

It can be divided in two parts, 463296 and 68, that added together give a palindrome (463364).

The spelling of 46329668 in words is "forty-six million, three hundred twenty-nine thousand, six hundred sixty-eight".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 359 419 718 838 1436 1676 2513 2933 3949 4609 5026 5866 7898 9218 10052 11732 15796 18436 27643 32263 55286 64526 110572 129052 150421 300842 601684 1052947 1654631 2105894 3309262 4211788 6618524 11582417 23164834 46329668