Search a number
-
+
46144104 = 23329167397
BaseRepresentation
bin1011000000000…
…1101001101000
310012211100210220
42300001221220
543303102404
64325010040
71100134626
oct260015150
9105740726
1046144104
1124057826
1213553920
139738306
1461b2516
1540b74d9
hex2c01a68

46144104 has 64 divisors (see below), whose sum is σ = 120355200. Its totient is φ = 14724864.

The previous prime is 46144081. The next prime is 46144123. The reversal of 46144104 is 40144164.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116034 + ... + 116430.

It is an arithmetic number, because the mean of its divisors is an integer number (1880550).

Almost surely, 246144104 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 46144104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60177600).

46144104 is an abundant number, since it is smaller than the sum of its proper divisors (74211096).

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

46144104 is a wasteful number, since it uses less digits than its factorization.

46144104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 46144104 is about 6792.9451639182. The cubic root of 46144104 is about 358.6785503603.

Adding to 46144104 its reverse (40144164), we get a palindrome (86288268).

The spelling of 46144104 in words is "forty-six million, one hundred forty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 167 174 232 334 348 397 501 668 696 794 1002 1191 1336 1588 2004 2382 3176 4008 4764 4843 9528 9686 11513 14529 19372 23026 29058 34539 38744 46052 58116 66299 69078 92104 116232 132598 138156 198897 265196 276312 397794 530392 795588 1591176 1922671 3845342 5768013 7690684 11536026 15381368 23072052 46144104