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401275364 = 227194118397
BaseRepresentation
bin10111111010101…
…111100111100100
31000222001220022112
4113322233213210
51310211302424
6103452420152
712641533010
oct2772574744
91028056275
10401275364
11196567136
12b2477658
1365199c59
143b417540
152536660e
hex17eaf9e4

401275364 has 48 divisors (see below), whose sum is σ = 865441920. Its totient is φ = 158941440.

The previous prime is 401275351. The next prime is 401275367. The reversal of 401275364 is 463572104.

It is a super-2 number, since 2×4012753642 = 322043835506664992, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 401275364.

It is not an unprimeable number, because it can be changed into a prime (401275367) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 12614 + ... + 31010.

It is an arithmetic number, because the mean of its divisors is an integer number (18030040).

Almost surely, 2401275364 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 401275364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432720960).

401275364 is an abundant number, since it is smaller than the sum of its proper divisors (464166556).

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

401275364 is a wasteful number, since it uses less digits than its factorization.

401275364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18468 (or 18466 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 401275364 is about 20031.8587255402. The cubic root of 401275364 is about 737.5885491303.

The spelling of 401275364 in words is "four hundred one million, two hundred seventy-five thousand, three hundred sixty-four".

Divisors: 1 2 4 7 14 19 28 38 41 76 82 133 164 266 287 532 574 779 1148 1558 3116 5453 10906 18397 21812 36794 73588 128779 257558 349543 515116 699086 754277 1398172 1508554 2446801 3017108 4893602 5279939 9787204 10559878 14331263 21119756 28662526 57325052 100318841 200637682 401275364