Search a number
-
+
401172440 = 23523218959
BaseRepresentation
bin10111111010010…
…110011111011000
31000221212200010112
4113322112133120
51310200004230
6103450303452
712640623644
oct2772263730
91027780115
10401172440
111964a6879
12b2427b88
1365162156
143b3cbc24
1525345d95
hex17e967d8

401172440 has 48 divisors (see below), whose sum is σ = 943639200. Its totient is φ = 153483968.

The previous prime is 401172439. The next prime is 401172451. The reversal of 401172440 is 44271104.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11681 + ... + 30639.

It is an arithmetic number, because the mean of its divisors is an integer number (19659150).

Almost surely, 2401172440 is an apocalyptic number.

401172440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401172440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471819600).

401172440 is an abundant number, since it is smaller than the sum of its proper divisors (542466760).

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

401172440 is a wasteful number, since it uses less digits than its factorization.

401172440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19016 (or 18989 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 401172440 is about 20029.2895530521. The cubic root of 401172440 is about 737.5254818352.

The spelling of 401172440 in words is "four hundred one million, one hundred seventy-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 529 920 1058 2116 2645 4232 5290 10580 18959 21160 37918 75836 94795 151672 189590 379180 436057 758360 872114 1744228 2180285 3488456 4360570 8721140 10029311 17442280 20058622 40117244 50146555 80234488 100293110 200586220 401172440