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401424436 = 22743595651
BaseRepresentation
bin10111111011010…
…100000000110100
31000222100110210201
4113323110000310
51310231040221
6103455530244
712643023430
oct2773240064
91028313721
10401424436
11196659136
12b2529984
136521ca6a
143b4559c0
1525395891
hex17ed4034

401424436 has 48 divisors (see below), whose sum is σ = 835591680. Its totient is φ = 165160800.

The previous prime is 401424431. The next prime is 401424461. The reversal of 401424436 is 634424104.

It is a super-2 number, since 2×4014244362 = 322283155635836192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401424431) 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, 68211 + ... + 73861.

It is an arithmetic number, because the mean of its divisors is an integer number (17408160).

Almost surely, 2401424436 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 401424436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417795840).

401424436 is an abundant number, since it is smaller than the sum of its proper divisors (434167244).

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

401424436 is a wasteful number, since it uses less digits than its factorization.

401424436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5764 (or 5762 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 401424436 is about 20035.5792529190. The cubic root of 401424436 is about 737.6798747694.

The spelling of 401424436 in words is "four hundred one million, four hundred twenty-four thousand, four hundred thirty-six".

Divisors: 1 2 4 7 14 28 43 59 86 118 172 236 301 413 602 826 1204 1652 2537 5074 5651 10148 11302 17759 22604 35518 39557 71036 79114 158228 242993 333409 485986 666818 971972 1333636 1700951 2333863 3401902 4667726 6803804 9335452 14336587 28673174 57346348 100356109 200712218 401424436