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414420486 = 232328110687
BaseRepresentation
bin11000101100111…
…000111000000110
31001212210202000220
4120230320320012
51322042423421
6105042245210
713161341664
oct3054707006
91055722026
10414420486
111a2a25277
12b6956806
1367b2022c
143d079c34
15265b13c6
hex18b38e06

414420486 has 32 divisors (see below), whose sum is σ = 868036608. Its totient is φ = 131651520.

The previous prime is 414420481. The next prime is 414420499. The reversal of 414420486 is 684024414.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414420481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33435 + ... + 44121.

It is an arithmetic number, because the mean of its divisors is an integer number (27126144).

Almost surely, 2414420486 is an apocalyptic number.

414420486 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

414420486 is an abundant number, since it is smaller than the sum of its proper divisors (453616122).

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

414420486 is a wasteful number, since it uses less digits than its factorization.

414420486 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10996.

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 414420486 is about 20357.3202067463. The cubic root of 414420486 is about 745.5562328005.

The spelling of 414420486 in words is "four hundred fourteen million, four hundred twenty thousand, four hundred eighty-six".

Divisors: 1 2 3 6 23 46 69 138 281 562 843 1686 6463 10687 12926 19389 21374 32061 38778 64122 245801 491602 737403 1474806 3003047 6006094 9009141 18018282 69070081 138140162 207210243 414420486