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1424433888 = 25324722239
BaseRepresentation
bin101010011100111…
…0010001011100000
310200021022201221200
41110321302023200
510404123341023
6353202321200
750204326323
oct12471621340
93607281850
101424433888
11671068299
12339059200
131991550b7
14d72727ba
15850be743
hex54e722e0

1424433888 has 108 divisors (see below), whose sum is σ = 4140601920. Its totient is φ = 464501376.

The previous prime is 1424433877. The next prime is 1424433917. The reversal of 1424433888 is 8883344241.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 635073 + ... + 637311.

Almost surely, 21424433888 is an apocalyptic number.

1424433888 is a gapful number since it is divisible by the number (18) 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 1424433888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2070300960).

1424433888 is an abundant number, since it is smaller than the sum of its proper divisors (2716168032).

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

1424433888 is a wasteful number, since it uses less digits than its factorization.

1424433888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2349 (or 2291 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The square root of 1424433888 is about 37741.6730948695. The cubic root of 1424433888 is about 1125.1595198983.

The spelling of 1424433888 in words is "one billion, four hundred twenty-four million, four hundred thirty-three thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 72 94 96 141 144 188 282 288 376 423 564 752 846 1128 1504 1692 2209 2239 2256 3384 4418 4478 4512 6627 6717 6768 8836 8956 13254 13434 13536 17672 17912 19881 20151 26508 26868 35344 35824 39762 40302 53016 53736 70688 71648 79524 80604 105233 106032 107472 159048 161208 210466 212064 214944 315699 318096 322416 420932 631398 636192 644832 841864 947097 1262796 1683728 1894194 2525592 3367456 3788388 4945951 5051184 7576776 9891902 10102368 14837853 15153552 19783804 29675706 30307104 39567608 44513559 59351412 79135216 89027118 118702824 158270432 178054236 237405648 356108472 474811296 712216944 1424433888