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422773248 = 2933743173
BaseRepresentation
bin11001001100110…
…000001000000000
31002110112002212110
4121030300020000
51331212220443
6105541255320
713322341032
oct3114601000
91073462773
10422773248
111a770a887
12b9704540
13697860b1
1440211c52
15271b1233
hex19330200

422773248 has 160 divisors (see below), whose sum is σ = 1190477376. Its totient is φ = 133152768.

The previous prime is 422773231. The next prime is 422773261. The reversal of 422773248 is 842377224.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2443690 + ... + 2443862.

Almost surely, 2422773248 is an apocalyptic number.

422773248 is a gapful number since it is divisible by the number (48) 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 422773248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595238688).

422773248 is an abundant number, since it is smaller than the sum of its proper divisors (767704128).

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

422773248 is a wasteful number, since it uses less digits than its factorization.

422773248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 258 counting only the distinct ones).

The product of its digits is 150528, while the sum is 39.

The square root of 422773248 is about 20561.4505324892. The cubic root of 422773248 is about 750.5319177732.

The spelling of 422773248 in words is "four hundred twenty-two million, seven hundred seventy-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 43 48 64 74 86 96 111 128 129 148 172 173 192 222 256 258 296 344 346 384 444 512 516 519 592 688 692 768 888 1032 1038 1184 1376 1384 1536 1591 1776 2064 2076 2368 2752 2768 3182 3552 4128 4152 4736 4773 5504 5536 6364 6401 7104 7439 8256 8304 9472 9546 11008 11072 12728 12802 14208 14878 16512 16608 18944 19092 19203 22016 22144 22317 25456 25604 28416 29756 33024 33216 38184 38406 44288 44634 50912 51208 56832 59512 66048 66432 76368 76812 88576 89268 101824 102416 119024 132864 152736 153624 178536 203648 204832 238048 265728 275243 305472 307248 357072 407296 409664 476096 550486 610944 614496 714144 814592 819328 825729 952192 1100972 1221888 1228992 1428288 1638656 1651458 1904384 2201944 2443776 2457984 2856576 3277312 3302916 3808768 4403888 4915968 5713152 6605832 8807776 9831936 11426304 13211664 17615552 26423328 35231104 52846656 70462208 105693312 140924416 211386624 422773248