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426099480 = 233522315923
BaseRepresentation
bin11001011001011…
…100001100011000
31002200210002121020
4121121130030120
51333040140410
6110140442440
713362533352
oct3131341430
91080702536
10426099480
111a9581934
12ba849420
136a37c091
144083a0d2
152761ba70
hex1965c318

426099480 has 64 divisors (see below), whose sum is σ = 1284111360. Its totient is φ = 113109888.

The previous prime is 426099469. The next prime is 426099481. The reversal of 426099480 is 84990624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426099481) 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, 18799 + ... + 34721.

It is an arithmetic number, because the mean of its divisors is an integer number (20064240).

Almost surely, 2426099480 is an apocalyptic number.

426099480 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 426099480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642055680).

426099480 is an abundant number, since it is smaller than the sum of its proper divisors (858011880).

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

426099480 is a wasteful number, since it uses less digits than its factorization.

426099480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16160 (or 16156 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 426099480 is about 20642.1772107498. The cubic root of 426099480 is about 752.4950857469.

It can be divided in two parts, 4260 and 99480, that added together give a triangular number (103740 = T455).

The spelling of 426099480 in words is "four hundred twenty-six million, ninety-nine thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 223 446 669 892 1115 1338 1784 2230 2676 3345 4460 5352 6690 8920 13380 15923 26760 31846 47769 63692 79615 95538 127384 159230 191076 238845 318460 382152 477690 636920 955380 1910760 3550829 7101658 10652487 14203316 17754145 21304974 28406632 35508290 42609948 53262435 71016580 85219896 106524870 142033160 213049740 426099480