Search a number
-
+
3528122364 = 22321322433361
BaseRepresentation
bin1101001001001010…
…1101111111111100
3100002212210012000200
43102102231333330
524211144403424
61342031523500
7153300355014
oct32222557774
910085705020
103528122364
111550595608
12825689590
13442c34a90
142567dcc44
15159b148c9
hexd24adffc

3528122364 has 72 divisors (see below), whose sum is σ = 9611473872. Its totient is φ = 1084769280.

The previous prime is 3528122363. The next prime is 3528122419. The reversal of 3528122364 is 4632218253.

3528122364 is a `hidden beast` number, since 3 + 528 + 122 + 3 + 6 + 4 = 666.

It is a super-5 number, since 5×35281223645 (a number of 49 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3528122363) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1048044 + ... + 1051404.

Almost surely, 23528122364 is an apocalyptic number.

It is an amenable number.

3528122364 is an abundant number, since it is smaller than the sum of its proper divisors (6083351508).

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

3528122364 is a wasteful number, since it uses less digits than its factorization.

3528122364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5627 (or 5622 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 3528122364 is about 59397.9996632883. Note that the first 3 decimals coincide. The cubic root of 3528122364 is about 1522.3501220286.

The spelling of 3528122364 in words is "three billion, five hundred twenty-eight million, one hundred twenty-two thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 2243 3361 4486 6722 6729 8972 10083 13444 13458 20166 20187 26916 29159 30249 40332 40374 43693 58318 60498 80748 87386 87477 116636 120996 131079 174772 174954 262158 262431 349908 393237 524316 524862 786474 1049724 1572948 7538723 15077446 22616169 30154892 45232338 67848507 90464676 98003399 135697014 196006798 271394028 294010197 392013596 588020394 882030591 1176040788 1764061182 3528122364