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401456286 = 2327111631777
BaseRepresentation
bin10111111011011…
…011110010011110
31000222102002111100
4113323123302132
51310233100121
6103500333530
712643215330
oct2773336236
91028362440
10401456286
11196680060
12b25442a6
13652313ca
143b463450
15253a0026
hex17edbc9e

401456286 has 96 divisors (see below), whose sum is σ = 1091720448. Its totient is φ = 103576320.

The previous prime is 401456269. The next prime is 401456287. The reversal of 401456286 is 682654104.

401456286 is a `hidden beast` number, since 4 + 0 + 14 + 562 + 86 = 666.

It is a super-2 number, since 2×4014562862 = 322334299137827592, 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 401456286.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401456287) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 225030 + ... + 226806.

It is an arithmetic number, because the mean of its divisors is an integer number (11372088).

Almost surely, 2401456286 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401456286, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545860224).

401456286 is an abundant number, since it is smaller than the sum of its proper divisors (690264162).

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

401456286 is a wasteful number, since it uses less digits than its factorization.

401456286 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1966 (or 1963 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 401456286 is about 20036.3740731700. The cubic root of 401456286 is about 737.6993840307.

The spelling of 401456286 in words is "four hundred one million, four hundred fifty-six thousand, two hundred eighty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 163 198 231 326 462 489 693 978 1141 1386 1467 1777 1793 2282 2934 3423 3554 3586 5331 5379 6846 10269 10662 10758 12439 12551 15993 16137 19547 20538 24878 25102 31986 32274 37317 37653 39094 58641 74634 75306 111951 112959 117282 136829 175923 223902 225918 273658 289651 351846 410487 579302 820974 868953 1231461 1737906 2027557 2462922 2606859 3186161 4055114 5213718 6082671 6372322 9558483 12165342 18248013 19116966 22303127 28675449 36496026 44606254 57350898 66909381 133818762 200728143 401456286