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428485176 = 233278310243
BaseRepresentation
bin11001100010100…
…010101000111000
31002212021022011100
4121202202220320
51334143011201
6110303531400
713422030630
oct3142425070
91085238140
10428485176
111aa961289
12bb5b9b60
136aa05c32
1440c9b6c0
152793d886
hex198a2a38

428485176 has 96 divisors (see below), whose sum is σ = 1342373760. Its totient is φ = 120937536.

The previous prime is 428485163. The next prime is 428485201. The reversal of 428485176 is 671584824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36711 + ... + 46953.

It is an arithmetic number, because the mean of its divisors is an integer number (13983060).

Almost surely, 2428485176 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428485176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671186880).

428485176 is an abundant number, since it is smaller than the sum of its proper divisors (913888584).

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

428485176 is a wasteful number, since it uses less digits than its factorization.

428485176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10345 (or 10338 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 428485176 is about 20699.8834779329. The cubic root of 428485176 is about 753.8968589203.

The spelling of 428485176 in words is "four hundred twenty-eight million, four hundred eighty-five thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 83 84 126 166 168 249 252 332 498 504 581 664 747 996 1162 1494 1743 1992 2324 2988 3486 4648 5229 5976 6972 10243 10458 13944 20486 20916 30729 40972 41832 61458 71701 81944 92187 122916 143402 184374 215103 245832 286804 368748 430206 573608 645309 737496 850169 860412 1290618 1700338 1720824 2550507 2581236 3400676 5101014 5162472 5951183 6801352 7651521 10202028 11902366 15303042 17853549 20404056 23804732 30606084 35707098 47609464 53560647 61212168 71414196 107121294 142828392 214242588 428485176