Search a number
-
+
46424136 = 23311414289
BaseRepresentation
bin1011000100011…
…0000001001000
310020100120221110
42301012001020
543341033021
64335010320
71102412223
oct261060110
9106316843
1046424136
1124229160
12136699a0
139805905
1462465ba
154120476
hex2c46048

46424136 has 64 divisors (see below), whose sum is σ = 129729600. Its totient is φ = 13721600.

The previous prime is 46424123. The next prime is 46424137. The reversal of 46424136 is 63142464.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (46424137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8680 + ... + 12968.

It is an arithmetic number, because the mean of its divisors is an integer number (2027025).

Almost surely, 246424136 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 46424136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64864800).

46424136 is an abundant number, since it is smaller than the sum of its proper divisors (83305464).

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

46424136 is a wasteful number, since it uses less digits than its factorization.

46424136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4350 (or 4346 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 46424136 is about 6813.5259594427. The cubic root of 46424136 is about 359.4026513418.

It can be divided in two parts, 4642 and 4136, that added together give a palindrome (8778).

The spelling of 46424136 in words is "forty-six million, four hundred twenty-four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 41 44 66 82 88 123 132 164 246 264 328 451 492 902 984 1353 1804 2706 3608 4289 5412 8578 10824 12867 17156 25734 34312 47179 51468 94358 102936 141537 175849 188716 283074 351698 377432 527547 566148 703396 1055094 1132296 1406792 1934339 2110188 3868678 4220376 5803017 7737356 11606034 15474712 23212068 46424136