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421023582 = 234737577
BaseRepresentation
bin11001000110000…
…100111101011110
31002100020012210000
4121012010331132
51330240223312
6105435555130
713301433000
oct3106047536
91070205700
10421023582
111a6725281
12b8bbbaa6
13692c28a5
143dcb8370
1526e67adc
hex19184f5e

421023582 has 80 divisors (see below), whose sum is σ = 1100325600. Its totient is φ = 120276576.

The previous prime is 421023571. The next prime is 421023601. The reversal of 421023582 is 285320124.

421023582 is a `hidden beast` number, since 421 + 0 + 235 + 8 + 2 = 666.

It is a super-2 number, since 2×4210235822 = 354521713200221448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 51778 + ... + 59354.

It is an arithmetic number, because the mean of its divisors is an integer number (13754070).

Almost surely, 2421023582 is an apocalyptic number.

421023582 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 421023582, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550162800).

421023582 is an abundant number, since it is smaller than the sum of its proper divisors (679302018).

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

421023582 is an equidigital number, since it uses as much as digits as its factorization.

421023582 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7612 (or 7589 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 421023582 is about 20518.8591788140. The cubic root of 421023582 is about 749.4951161994.

The spelling of 421023582 in words is "four hundred twenty-one million, twenty-three thousand, five hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 294 343 378 441 567 686 882 1029 1134 1323 2058 2646 3087 3969 6174 7577 7938 9261 15154 18522 22731 27783 45462 53039 55566 68193 106078 136386 159117 204579 318234 371273 409158 477351 613737 742546 954702 1113819 1227474 1432053 2227638 2598911 2864106 3341457 4296159 5197822 6682914 7796733 8592318 10024371 15593466 20048742 23390199 30073113 46780398 60146226 70170597 140341194 210511791 421023582