Base | Representation |
---|---|
bin | 10111111101101… |
… | …101011000100100 |
3 | 1001000112101112200 |
4 | 113331231120210 |
5 | 1310411141034 |
6 | 103521214500 |
7 | 12651251100 |
oct | 2775553044 |
9 | 1030471480 |
10 | 402052644 |
11 | 196a48114 |
12 | b2791430 |
13 | 653ac996 |
14 | 3b57a900 |
15 | 2546ba99 |
hex | 17f6d624 |
402052644 has 108 divisors (see below), whose sum is σ = 1193279724. Its totient is φ = 113799168.
The previous prime is 402052633. The next prime is 402052649. The reversal of 402052644 is 446250204.
It can be written as a sum of positive squares in 2 ways, for example, as 147331044 + 254721600 = 12138^2 + 15960^2 .
It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.
It is not an unprimeable number, because it can be changed into a prime (402052649) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 198324 + ... + 200340.
Almost surely, 2402052644 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 402052644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596639862).
402052644 is an abundant number, since it is smaller than the sum of its proper divisors (791227080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
402052644 is a wasteful number, since it uses less digits than its factorization.
402052644 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2154 (or 2142 counting only the distinct ones).
The product of its (nonzero) digits is 7680, while the sum is 27.
The square root of 402052644 is about 20051.2504348233. The cubic root of 402052644 is about 738.0644841973.
It can be divided in two parts, 40205 and 2644, that added together give a square (42849 = 2072).
The spelling of 402052644 in words is "four hundred two million, fifty-two thousand, six hundred forty-four".
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