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426993480 = 233251816553
BaseRepresentation
bin11001011100110…
…110011101001000
31002202110111221100
4121130312131020
51333302242410
6110211541400
713403245644
oct3134663510
91082414840
10426993480
111aa032581
12babba860
136a602c84
14409cdc24
15277468c0
hex19736748

426993480 has 96 divisors (see below), whose sum is σ = 1395608760. Its totient is φ = 113218560.

The previous prime is 426993433. The next prime is 426993481. The reversal of 426993480 is 84399624.

It can be written as a sum of positive squares in 4 ways, for example, as 170929476 + 256064004 = 13074^2 + 16002^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (426993481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61884 + ... + 68436.

Almost surely, 2426993480 is an apocalyptic number.

426993480 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 426993480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697804380).

426993480 is an abundant number, since it is smaller than the sum of its proper divisors (968615280).

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

426993480 is a wasteful number, since it uses less digits than its factorization.

426993480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6751 (or 6744 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 426993480 is about 20663.8205567122. The cubic root of 426993480 is about 753.0209884998.

The spelling of 426993480 in words is "four hundred twenty-six million, nine hundred ninety-three thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 181 360 362 543 724 905 1086 1448 1629 1810 2172 2715 3258 3620 4344 5430 6516 6553 7240 8145 10860 13032 13106 16290 19659 21720 26212 32580 32765 39318 52424 58977 65160 65530 78636 98295 117954 131060 157272 196590 235908 262120 294885 393180 471816 589770 786360 1179540 1186093 2359080 2372186 3558279 4744372 5930465 7116558 9488744 10674837 11860930 14233116 17791395 21349674 23721860 28466232 35582790 42699348 47443720 53374185 71165580 85398696 106748370 142331160 213496740 426993480