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428244824 = 23717247563
BaseRepresentation
bin11001100001100…
…111111101011000
31002211211002110102
4121201213331120
51334112313244
6110254434532
713420010120
oct3141477530
91084732412
10428244824
111aa807747
12bb502a48
136a950707
1440c37c80
15278e254e
hex19867f58

428244824 has 96 divisors (see below), whose sum is σ = 997332480. Its totient is φ = 168761856.

The previous prime is 428244811. The next prime is 428244829. The reversal of 428244824 is 428442824.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428244829) 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, 760367 + ... + 760929.

It is an arithmetic number, because the mean of its divisors is an integer number (10388880).

Almost surely, 2428244824 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 428244824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498666240).

428244824 is an abundant number, since it is smaller than the sum of its proper divisors (569087656).

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

428244824 is a wasteful number, since it uses less digits than its factorization.

428244824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 636 counting only the distinct ones).

The product of its digits is 131072, while the sum is 38.

The square root of 428244824 is about 20694.0770270143. The cubic root of 428244824 is about 753.7558703719.

The spelling of 428244824 in words is "four hundred twenty-eight million, two hundred forty-four thousand, eight hundred twenty-four".

Divisors: 1 2 4 7 8 14 17 28 34 47 56 68 94 119 136 188 238 289 329 376 476 563 578 658 799 952 1126 1156 1316 1598 2023 2252 2312 2632 3196 3941 4046 4504 5593 6392 7882 8092 9571 11186 13583 15764 16184 19142 22372 26461 27166 31528 38284 44744 52922 54332 66997 76568 95081 105844 108664 133994 162707 185227 190162 211688 267988 325414 370454 380324 449837 535976 650828 740908 760648 899674 1138949 1301656 1481816 1799348 2277898 3148859 3598696 4555796 6297718 7647229 9111592 12595436 15294458 25190872 30588916 53530603 61177832 107061206 214122412 428244824