Search a number
-
+
401556852 = 22342942737
BaseRepresentation
bin10111111011110…
…100010101110100
31000222121012110000
4113323310111310
51310244304402
6103502431300
712644114454
oct2773642564
91028535400
10401556852
11196739674
12b2592530
1365268108
143b48bd64
15253bec1c
hex17ef4574

401556852 has 60 divisors (see below), whose sum is σ = 1085972580. Its totient is φ = 129233664.

The previous prime is 401556821. The next prime is 401556853. The reversal of 401556852 is 258655104.

401556852 is a `hidden beast` number, since 40 + 1 + 5 + 568 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 252619236 + 148937616 = 15894^2 + 12204^2 .

It is a super-2 number, since 2×4015568522 = 322495810776299808, which contains 22 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 (401556853) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11973 + ... + 30764.

It is an arithmetic number, because the mean of its divisors is an integer number (18099543).

Almost surely, 2401556852 is an apocalyptic number.

It is an amenable number.

401556852 is an abundant number, since it is smaller than the sum of its proper divisors (684415728).

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

401556852 is a wasteful number, since it uses less digits than its factorization.

401556852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42782 (or 42771 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 401556852 is about 20038.8835018321. The cubic root of 401556852 is about 737.7609775217.

The spelling of 401556852 in words is "four hundred one million, five hundred fifty-six thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 261 324 348 522 783 1044 1566 2349 3132 4698 9396 42737 85474 128211 170948 256422 384633 512844 769266 1153899 1239373 1538532 2307798 2478746 3461697 3718119 4615596 4957492 6923394 7436238 11154357 13846788 14872476 22308714 33463071 44617428 66926142 100389213 133852284 200778426 401556852