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46856964 = 2237111719157
BaseRepresentation
bin1011001010111…
…1101100000100
310021011120200010
42302233230010
543443410324
64352150220
71106164140
oct262575404
9107146603
1046856964
11244a4370
1213838370
13992791b
14631a220
1541a8829
hex2cafb04

46856964 has 192 divisors, whose sum is σ = 152893440. Its totient is φ = 10782720.

The previous prime is 46856959. The next prime is 46856969. The reversal of 46856964 is 46965864.

It is a happy number.

46856964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (46856959) and next prime (46856969).

Its product of digits (1244160) is a multiple of the sum of its prime divisors (216).

It is not an unprimeable number, because it can be changed into a prime (46856969) 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 63 ways as a sum of consecutive naturals, for example, 298374 + ... + 298530.

It is an arithmetic number, because the mean of its divisors is an integer number (796320).

Almost surely, 246856964 is an apocalyptic number.

46856964 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46856964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76446720).

46856964 is an abundant number, since it is smaller than the sum of its proper divisors (106036476).

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

46856964 is a wasteful number, since it uses less digits than its factorization.

46856964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 216 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 48.

The square root of 46856964 is about 6845.2146788833. The cubic root of 46856964 is about 360.5161423543.

Subtracting 46856964 from its reverse (46965864), we obtain a square (108900 = 3302).

The spelling of 46856964 in words is "forty-six million, eight hundred fifty-six thousand, nine hundred sixty-four".