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445114992 = 24373373931
BaseRepresentation
bin11010100001111…
…110101001110000
31011000120011222110
4122201332221300
51402422134432
6112100205320
714013262230
oct3241765160
91130504873
10445114992
1120928a533
12105099840
13712a936a
1443189cc0
1529125dcc
hex1a87ea70

445114992 has 80 divisors (see below), whose sum is σ = 1318383872. Its totient is φ = 126766080.

The previous prime is 445114981. The next prime is 445115003. The reversal of 445114992 is 299411544.

It is an interprime number because it is at equal distance from previous prime (445114981) and next prime (445115003).

It is a super-2 number, since 2×4451149922 = 396254712206320128, 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 445114992.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111267 + ... + 115197.

Almost surely, 2445114992 is an apocalyptic number.

445114992 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445114992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659191936).

445114992 is an abundant number, since it is smaller than the sum of its proper divisors (873268880).

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

445114992 is a wasteful number, since it uses less digits than its factorization.

445114992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4286 (or 4280 counting only the distinct ones).

The product of its digits is 51840, while the sum is 39.

The square root of 445114992 is about 21097.7485054685. The cubic root of 445114992 is about 763.5264281857.

The spelling of 445114992 in words is "four hundred forty-five million, one hundred fourteen thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 337 674 1011 1348 2022 2359 2696 3931 4044 4718 5392 7077 7862 8088 9436 11793 14154 15724 16176 18872 23586 27517 28308 31448 37744 47172 55034 56616 62896 82551 94344 110068 113232 165102 188688 220136 330204 440272 660408 1320816 1324747 2649494 3974241 5298988 7948482 9273229 10597976 15896964 18546458 21195952 27819687 31793928 37092916 55639374 63587856 74185832 111278748 148371664 222557496 445114992