[go: up one dir, main page]

Search a number
-
+
46063136 = 2572291013
BaseRepresentation
bin1010111110110…
…1111000100000
310012200020202002
42233231320200
543243010021
64323143132
71066346600
oct257557040
9105606662
1046063136
1124001a09
1213514aa8
13970a4c2
146190c00
15409d50b
hex2bede20

46063136 has 72 divisors (see below), whose sum is σ = 109238220. Its totient is φ = 19041792.

The previous prime is 46063133. The next prime is 46063159. The reversal of 46063136 is 63136064.

It can be written as a sum of positive squares in 2 ways, for example, as 40398736 + 5664400 = 6356^2 + 2380^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 46063099 and 46063108.

It is not an unprimeable number, because it can be changed into a prime (46063133) 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, 44966 + ... + 45978.

Almost surely, 246063136 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 46063136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54619110).

46063136 is an abundant number, since it is smaller than the sum of its proper divisors (63175084).

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

46063136 is a wasteful number, since it uses less digits than its factorization.

46063136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 29.

The square root of 46063136 is about 6786.9828348096. The cubic root of 46063136 is about 358.4686391974.

The spelling of 46063136 in words is "forty-six million, sixty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 29 32 49 56 58 98 112 116 196 203 224 232 392 406 464 784 812 928 1013 1421 1568 1624 2026 2842 3248 4052 5684 6496 7091 8104 11368 14182 16208 22736 28364 29377 32416 45472 49637 56728 58754 99274 113456 117508 198548 205639 226912 235016 397096 411278 470032 794192 822556 940064 1439473 1588384 1645112 2878946 3290224 5757892 6580448 11515784 23031568 46063136