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401260216 = 23724792137
BaseRepresentation
bin10111111010101…
…011111010111000
31000222001010112111
4113322223322320
51310210311331
6103452222104
712641440600
oct2772537270
91028033474
10401260216
11196556815
12b246a934
13651930a6
143b411c00
1525361db1
hex17eabeb8

401260216 has 48 divisors (see below), whose sum is σ = 877435200. Its totient is φ = 171529344.

The previous prime is 401260199. The next prime is 401260229. The reversal of 401260216 is 612062104.

It is a super-2 number, since 2×4012602162 = 322019521888733312, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 186700 + ... + 188836.

It is an arithmetic number, because the mean of its divisors is an integer number (18279900).

Almost surely, 2401260216 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 401260216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438717600).

401260216 is an abundant number, since it is smaller than the sum of its proper divisors (476174984).

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

401260216 is a wasteful number, since it uses less digits than its factorization.

401260216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2636 (or 2625 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 401260216 is about 20031.4806242574. The cubic root of 401260216 is about 737.5792677798.

The spelling of 401260216 in words is "four hundred one million, two hundred sixty thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 479 958 1916 2137 3353 3832 4274 6706 8548 13412 14959 17096 23471 26824 29918 46942 59836 93884 104713 119672 187768 209426 418852 837704 1023623 2047246 4094492 7165361 8188984 14330722 28661444 50157527 57322888 100315054 200630108 401260216