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426129732 = 2232713712343
BaseRepresentation
bin11001011001100…
…011100101000100
31002200211122002200
4121121203211010
51333042122412
6110141234500
713363020510
oct3131434504
91080748080
10426129732
111a95a2636
12ba862a30
136a38ca92
1440847140
15276259dc
hex19663944

426129732 has 72 divisors (see below), whose sum is σ = 1240127616. Its totient is φ = 120852864.

The previous prime is 426129721. The next prime is 426129733. The reversal of 426129732 is 237921624.

426129732 is a `hidden beast` number, since 4 + 2 + 612 + 9 + 7 + 32 = 666.

It is a super-3 number, since 3×4261297323 (a number of 27 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (426129733) 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 23 ways as a sum of consecutive naturals, for example, 28353 + ... + 40695.

Almost surely, 2426129732 is an apocalyptic number.

426129732 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 426129732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620063808).

426129732 is an abundant number, since it is smaller than the sum of its proper divisors (813997884).

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

426129732 is a wasteful number, since it uses less digits than its factorization.

426129732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12497 (or 12492 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 426129732 is about 20642.9099692849. The cubic root of 426129732 is about 752.5128937501.

The spelling of 426129732 in words is "four hundred twenty-six million, one hundred twenty-nine thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 137 252 274 411 548 822 959 1233 1644 1918 2466 2877 3836 4932 5754 8631 11508 12343 17262 24686 34524 37029 49372 74058 86401 111087 148116 172802 222174 259203 345604 444348 518406 777609 1036812 1555218 1690991 3110436 3381982 5072973 6763964 10145946 11836937 15218919 20291892 23673874 30437838 35510811 47347748 60875676 71021622 106532433 142043244 213064866 426129732