[go: up one dir, main page]

Search a number
-
+
46851648 = 2632391021
BaseRepresentation
bin1011001010111…
…0011001000000
310021011022101020
42302232121000
543443223043
64352105440
71106142504
oct262563100
9107138336
1046851648
11244a0378
1213835280
13992538c
146318304
1541a6e83
hex2cae640

46851648 has 56 divisors (see below), whose sum is σ = 124602240. Its totient is φ = 15536640.

The previous prime is 46851641. The next prime is 46851653. The reversal of 46851648 is 84615864.

It is not an unprimeable number, because it can be changed into a prime (46851641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45378 + ... + 46398.

It is an arithmetic number, because the mean of its divisors is an integer number (2225040).

Almost surely, 246851648 is an apocalyptic number.

46851648 is a gapful number since it is divisible by the number (48) 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 46851648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62301120).

46851648 is an abundant number, since it is smaller than the sum of its proper divisors (77750592).

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

46851648 is a wasteful number, since it uses less digits than its factorization.

46851648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1275 (or 1265 counting only the distinct ones).

The product of its digits is 184320, while the sum is 42.

The square root of 46851648 is about 6844.8263674106. The cubic root of 46851648 is about 360.5025081213.

The spelling of 46851648 in words is "forty-six million, eight hundred fifty-one thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 239 478 717 956 1021 1434 1912 2042 2868 3063 3824 4084 5736 6126 7648 8168 11472 12252 15296 16336 22944 24504 32672 45888 49008 65344 98016 196032 244019 488038 732057 976076 1464114 1952152 2928228 3904304 5856456 7808608 11712912 15617216 23425824 46851648