Search a number
-
+
401285860 = 225412292137
BaseRepresentation
bin10111111010110…
…010001011100100
31000222002102201021
4113322302023210
51310212121420
6103452540524
712641605423
oct2772621344
91028072637
10401285860
11196574008
12b2481744
13651a1971
143b41b2ba
15253697aa
hex17eb22e4

401285860 has 48 divisors (see below), whose sum is σ = 867429360. Its totient is φ = 155842560.

The previous prime is 401285849. The next prime is 401285887. The reversal of 401285860 is 68582104.

It can be written as a sum of positive squares in 8 ways, for example, as 54730404 + 346555456 = 7398^2 + 18616^2 .

It is a super-2 number, since 2×4012858602 = 322060682871879200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 186712 + ... + 188848.

It is an arithmetic number, because the mean of its divisors is an integer number (18071445).

Almost surely, 2401285860 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 401285860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433714680).

401285860 is an abundant number, since it is smaller than the sum of its proper divisors (466143500).

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

401285860 is a wasteful number, since it uses less digits than its factorization.

401285860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2416 (or 2414 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 401285860 is about 20032.1207065053. The cubic root of 401285860 is about 737.5949800109.

The spelling of 401285860 in words is "four hundred one million, two hundred eighty-five thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 20 41 82 164 205 229 410 458 820 916 1145 2137 2290 4274 4580 8548 9389 10685 18778 21370 37556 42740 46945 87617 93890 175234 187780 350468 438085 489373 876170 978746 1752340 1957492 2446865 4893730 9787460 20064293 40128586 80257172 100321465 200642930 401285860