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401562216 = 233211246093
BaseRepresentation
bin10111111011110…
…101101001101000
31000222121110210200
4113323311221220
51310244442331
6103502512200
712644136216
oct2773655150
91028543720
10401562216
11196742700
12b2595660
136526a6a3
143b48dcb6
15253c15e6
hex17ef5a68

401562216 has 72 divisors (see below), whose sum is σ = 1195447890. Its totient is φ = 121682880.

The previous prime is 401562211. The next prime is 401562229. The reversal of 401562216 is 612265104.

It can be written as a sum of positive squares in only one way, i.e., 343954116 + 57608100 = 18546^2 + 7590^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×4015622162 = 322504426637661312, 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 401562216.

It is not an unprimeable number, because it can be changed into a prime (401562211) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14335 + ... + 31758.

Almost surely, 2401562216 is an apocalyptic number.

It is an amenable number.

401562216 is an abundant number, since it is smaller than the sum of its proper divisors (793885674).

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

401562216 is a wasteful number, since it uses less digits than its factorization.

401562216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46127 (or 46109 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 401562216 is about 20039.0173411772. The cubic root of 401562216 is about 737.7642625130.

The spelling of 401562216 in words is "four hundred one million, five hundred sixty-two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 968 1089 1452 2178 2904 4356 8712 46093 92186 138279 184372 276558 368744 414837 507023 553116 829674 1014046 1106232 1521069 1659348 2028092 3042138 3318696 4056184 4563207 5577253 6084276 9126414 11154506 12168552 16731759 18252828 22309012 33463518 36505656 44618024 50195277 66927036 100390554 133854072 200781108 401562216