Search a number
-
+
46195864 = 23112133671
BaseRepresentation
bin1011000000111…
…0010010011000
310012220222210221
42300032102120
543311231424
64330045424
71100441551
oct260162230
9105828727
1046195864
1124092700
1213579874
139755a40
1461c7328
1540c79e4
hex2c0e498

46195864 has 48 divisors (see below), whose sum is σ = 102558960. Its totient is φ = 19377600.

The previous prime is 46195861. The next prime is 46195867. The reversal of 46195864 is 46859164.

46195864 = T312 + T313 + ... + T674.

It is an interprime number because it is at equal distance from previous prime (46195861) and next prime (46195867).

It is a self number, because there is not a number n which added to its sum of digits gives 46195864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46195861) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10749 + ... + 14419.

It is an arithmetic number, because the mean of its divisors is an integer number (2136645).

Almost surely, 246195864 is an apocalyptic number.

46195864 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 46195864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51279480).

46195864 is an abundant number, since it is smaller than the sum of its proper divisors (56363096).

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

46195864 is a wasteful number, since it uses less digits than its factorization.

46195864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3712 (or 3697 counting only the distinct ones).

The product of its digits is 207360, while the sum is 43.

The square root of 46195864 is about 6796.7539311056. The cubic root of 46195864 is about 358.8126105683.

The spelling of 46195864 in words is "forty-six million, one hundred ninety-five thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 121 143 242 286 484 572 968 1144 1573 3146 3671 6292 7342 12584 14684 29368 40381 47723 80762 95446 161524 190892 323048 381784 444191 524953 888382 1049906 1776764 2099812 3553528 4199624 5774483 11548966 23097932 46195864