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46964268 = 223213175903
BaseRepresentation
bin1011001100100…
…1111000101100
310021101000212100
42303021320230
544010324033
64354335100
71110122031
oct263117054
9107330770
1046964268
1124567a4a
121388a490
139964710
146347388
1541ca513
hex2cc9e2c

46964268 has 72 divisors (see below), whose sum is σ = 135390528. Its totient is φ = 13598208.

The previous prime is 46964263. The next prime is 46964297. The reversal of 46964268 is 86246964.

46964268 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46964261) 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, 5005 + ... + 10907.

It is an arithmetic number, because the mean of its divisors is an integer number (1880424).

Almost surely, 246964268 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 46964268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67695264).

46964268 is an abundant number, since it is smaller than the sum of its proper divisors (88426260).

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

46964268 is a wasteful number, since it uses less digits than its factorization.

46964268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5943 (or 5938 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 46964268 is about 6853.0480809637. The cubic root of 46964268 is about 360.7911305204.

The spelling of 46964268 in words is "forty-six million, nine hundred sixty-four thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 68 78 102 117 153 156 204 221 234 306 442 468 612 663 884 1326 1989 2652 3978 5903 7956 11806 17709 23612 35418 53127 70836 76739 100351 106254 153478 200702 212508 230217 301053 306956 401404 460434 602106 690651 903159 920868 1204212 1304563 1381302 1806318 2609126 2762604 3612636 3913689 5218252 7827378 11741067 15654756 23482134 46964268