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401124024 = 233271037727
BaseRepresentation
bin10111111010001…
…010101010111000
31000221210012201100
4113322022222320
51310141432044
6103445251400
712640332540
oct2772125270
91027705640
10401124024
11196473464
12b2403b60
13651460c2
143b3b8320
1525336869
hex17e8aab8

401124024 has 96 divisors (see below), whose sum is σ = 1253790720. Its totient is φ = 113479488.

The previous prime is 401124013. The next prime is 401124037. The reversal of 401124024 is 420421104.

401124024 is a `hidden beast` number, since 401 + 1 + 240 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 401123988 and 401124006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48049 + ... + 55775.

It is an arithmetic number, because the mean of its divisors is an integer number (13060320).

Almost surely, 2401124024 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 401124024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626895360).

401124024 is an abundant number, since it is smaller than the sum of its proper divisors (852666696).

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

401124024 is a wasteful number, since it uses less digits than its factorization.

401124024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7849 (or 7842 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 401124024 is about 20028.0808865952. The cubic root of 401124024 is about 737.4958109118.

Adding to 401124024 its reverse (420421104), we get a palindrome (821545128).

The spelling of 401124024 in words is "four hundred one million, one hundred twenty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 103 126 168 206 252 309 412 504 618 721 824 927 1236 1442 1854 2163 2472 2884 3708 4326 5768 6489 7416 7727 8652 12978 15454 17304 23181 25956 30908 46362 51912 54089 61816 69543 92724 108178 139086 162267 185448 216356 278172 324534 432712 486801 556344 649068 795881 973602 1298136 1591762 1947204 2387643 3183524 3894408 4775286 5571167 6367048 7162929 9550572 11142334 14325858 16713501 19101144 22284668 28651716 33427002 44569336 50140503 57303432 66854004 100281006 133708008 200562012 401124024