Search a number
-
+
46104944 = 2419433527
BaseRepresentation
bin1010111111100…
…0000101110000
310012202101002112
42233320011300
543300324234
64324104452
71066612514
oct257700560
9105671075
1046104944
1124030366
1213535128
139723542
1461a2144
1540aaace
hex2bf8170

46104944 has 40 divisors (see below), whose sum is σ = 96243840. Its totient is φ = 21325248.

The previous prime is 46104941. The next prime is 46104991. The reversal of 46104944 is 44940164.

46104944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×461049442 = 4251331722486272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 46104944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46104941) 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 7 ways as a sum of consecutive naturals, for example, 11309 + ... + 14835.

It is an arithmetic number, because the mean of its divisors is an integer number (2406096).

Almost surely, 246104944 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 46104944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48121920).

46104944 is an abundant number, since it is smaller than the sum of its proper divisors (50138896).

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

46104944 is a wasteful number, since it uses less digits than its factorization.

46104944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3597 (or 3591 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 46104944 is about 6790.0621499365. The cubic root of 46104944 is about 358.5770579629.

The spelling of 46104944 in words is "forty-six million, one hundred four thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 19 38 43 76 86 152 172 304 344 688 817 1634 3268 3527 6536 7054 13072 14108 28216 56432 67013 134026 151661 268052 303322 536104 606644 1072208 1213288 2426576 2881559 5763118 11526236 23052472 46104944