Search a number
-
+
414254466 = 2335322731
BaseRepresentation
bin11000101100010…
…000010110000010
31001212111022022000
4120230100112002
51322022120331
6105034524430
713160050653
oct3054202602
91055438260
10414254466
111a292156a
12b6896716
1367a927b2
143d03552a
152657c0e6
hex18b10582

414254466 has 48 divisors (see below), whose sum is σ = 938605920. Its totient is φ = 135429840.

The previous prime is 414254461. The next prime is 414254483. The reversal of 414254466 is 664452414.

414254466 is a `hidden beast` number, since 4 + 142 + 54 + 466 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 414254466.

It is not an unprimeable number, because it can be changed into a prime (414254461) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150321 + ... + 153051.

It is an arithmetic number, because the mean of its divisors is an integer number (19554290).

Almost surely, 2414254466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414254466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469302960).

414254466 is an abundant number, since it is smaller than the sum of its proper divisors (524351454).

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

414254466 is a wasteful number, since it uses less digits than its factorization.

414254466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2848 (or 2789 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 414254466 is about 20353.2421495938. The cubic root of 414254466 is about 745.4566610030.

The spelling of 414254466 in words is "four hundred fourteen million, two hundred fifty-four thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 53 54 106 159 318 477 954 1431 2731 2809 2862 5462 5618 8193 8427 16386 16854 24579 25281 49158 50562 73737 75843 144743 147474 151686 289486 434229 868458 1302687 2605374 3908061 7671379 7816122 15342758 23014137 46028274 69042411 138084822 207127233 414254466