Search a number
-
+
46055552 = 271093301
BaseRepresentation
bin1010111110110…
…0000010000000
310012122212100012
42233230002000
543242234202
64323044052
71066315514
oct257540200
9105585305
1046055552
1123aa7244
1213510628
139706c0a
14618c144
15409b152
hex2bec080

46055552 has 32 divisors (see below), whose sum is σ = 92621100. Its totient is φ = 22809600.

The previous prime is 46055551. The next prime is 46055579. The reversal of 46055552 is 25555064.

It can be written as a sum of positive squares in 2 ways, for example, as 45914176 + 141376 = 6776^2 + 376^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×460555522 = 4242227740049408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (46055551) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12302 + ... + 15602.

Almost surely, 246055552 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 46055552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46310550).

46055552 is an abundant number, since it is smaller than the sum of its proper divisors (46565548).

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

46055552 is a wasteful number, since it uses less digits than its factorization.

46055552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3424 (or 3412 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 32.

The square root of 46055552 is about 6786.4240952065. The cubic root of 46055552 is about 358.4489649300.

The spelling of 46055552 in words is "forty-six million, fifty-five thousand, five hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 109 128 218 436 872 1744 3301 3488 6602 6976 13204 13952 26408 52816 105632 211264 359809 422528 719618 1439236 2878472 5756944 11513888 23027776 46055552