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425841680 = 245111925469
BaseRepresentation
bin11001011000011…
…101010000010000
31002200021222222002
4121120131100100
51333003413210
6110131133132
713360410635
oct3130352020
91080258862
10425841680
111a9416180
12ba7441a8
136a2bb934
14407b018c
15275ba4a5
hex1961d410

425841680 has 80 divisors (see below), whose sum is σ = 1136980800. Its totient is φ = 146695680.

The previous prime is 425841673. The next prime is 425841683. The reversal of 425841680 is 86148524.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×4258416802 = 362682272850444800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (425841683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3986 + ... + 29454.

It is an arithmetic number, because the mean of its divisors is an integer number (14212260).

Almost surely, 2425841680 is an apocalyptic number.

425841680 is a gapful number since it is divisible by the number (40) 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 425841680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568490400).

425841680 is an abundant number, since it is smaller than the sum of its proper divisors (711139120).

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

425841680 is a wasteful number, since it uses less digits than its factorization.

425841680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25512 (or 25506 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 38.

The square root of 425841680 is about 20635.9317696100. The cubic root of 425841680 is about 752.3432961776.

The spelling of 425841680 in words is "four hundred twenty-five million, eight hundred forty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 38 40 44 55 76 80 88 95 110 152 176 190 209 220 304 380 418 440 760 836 880 1045 1520 1672 2090 3344 4180 8360 16720 25469 50938 101876 127345 203752 254690 280159 407504 483911 509380 560318 967822 1018760 1120636 1400795 1935644 2037520 2241272 2419555 2801590 3871288 4482544 4839110 5323021 5603180 7742576 9678220 10646042 11206360 19356440 21292084 22412720 26615105 38712880 42584168 53230210 85168336 106460420 212920840 425841680