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401418204 = 2231197107293
BaseRepresentation
bin10111111011010…
…010011111011100
31000222100011020220
4113323102133130
51310230340304
6103455441340
712642666315
oct2773223734
91028304226
10401418204
11196654490
12b2526250
1365219c85
143b45360c
1525393ad9
hex17ed27dc

401418204 has 96 divisors (see below), whose sum is σ = 1045529856. Its totient is φ = 118855680.

The previous prime is 401418179. The next prime is 401418233. The reversal of 401418204 is 402814104.

It is a super-3 number, since 3×4014182043 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1369882 + ... + 1370174.

It is an arithmetic number, because the mean of its divisors is an integer number (10890936).

Almost surely, 2401418204 is an apocalyptic number.

401418204 is a gapful number since it is divisible by the number (44) 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 401418204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522764928).

401418204 is an abundant number, since it is smaller than the sum of its proper divisors (644111652).

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

401418204 is a wasteful number, since it uses less digits than its factorization.

401418204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 401418204 is about 20035.4237289856. The cubic root of 401418204 is about 737.6760573264.

The spelling of 401418204 in words is "four hundred one million, four hundred eighteen thousand, two hundred four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 97 107 132 194 214 291 293 321 388 428 582 586 642 879 1067 1164 1172 1177 1284 1758 2134 2354 3201 3223 3516 3531 4268 4708 6402 6446 7062 9669 10379 12804 12892 14124 19338 20758 28421 31137 31351 38676 41516 56842 62274 62702 85263 94053 113684 114169 124548 125404 170526 188106 228338 312631 341052 342507 344861 376212 456676 625262 685014 689722 937893 1034583 1250524 1370028 1379444 1875786 2069166 3041047 3751572 4138332 6082094 9123141 12164188 18246282 33451517 36492564 66903034 100354551 133806068 200709102 401418204