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401441540 = 225231137723
BaseRepresentation
bin10111111011011…
…000001100000100
31000222101100021012
4113323120030010
51310232112130
6103500141352
712643124333
oct2773301404
91028340235
10401441540
1119666aa75
12b2537858
1365227796
143b45bd1a
152539a995
hex17ed8304

401441540 has 48 divisors (see below), whose sum is σ = 887580288. Its totient is φ = 152216064.

The previous prime is 401441533. The next prime is 401441543. The reversal of 401441540 is 45144104.

It is a happy number.

It is a super-2 number, since 2×4014415402 = 322310620075143200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (401441543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48119 + ... + 55841.

It is an arithmetic number, because the mean of its divisors is an integer number (18491256).

Almost surely, 2401441540 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 401441540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443790144).

401441540 is an abundant number, since it is smaller than the sum of its proper divisors (486138748).

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

401441540 is a wasteful number, since it uses less digits than its factorization.

401441540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7868 (or 7866 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 401441540 is about 20036.0060890388. The cubic root of 401441540 is about 737.6903517079.

Adding to 401441540 its reverse (45144104), we get a palindrome (446585644).

It can be divided in two parts, 4014 and 41540, that added together give a palindrome (45554).

The spelling of 401441540 in words is "four hundred one million, four hundred forty-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 113 115 226 230 452 460 565 1130 2260 2599 5198 7723 10396 12995 15446 25990 30892 38615 51980 77230 154460 177629 355258 710516 872699 888145 1745398 1776290 3490796 3552580 4363495 8726990 17453980 20072077 40144154 80288308 100360385 200720770 401441540