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42823320 = 23351572273
BaseRepresentation
bin1010001101011…
…0111010011000
32222120122112220
42203112322120
541430321240
64125504040
71026664221
oct243267230
988518486
1042823320
1122199881
1212412020
138b44957
14598a248
153b5d5d0
hex28d6e98

42823320 has 64 divisors (see below), whose sum is σ = 129345120. Its totient is φ = 11341824.

The previous prime is 42823301. The next prime is 42823331. The reversal of 42823320 is 2332824.

42823320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17704 + ... + 19976.

Almost surely, 242823320 is an apocalyptic number.

42823320 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 42823320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64672560).

42823320 is an abundant number, since it is smaller than the sum of its proper divisors (86521800).

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

42823320 is a wasteful number, since it uses less digits than its factorization.

42823320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2444 (or 2440 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 42823320 is about 6543.9529338161. The cubic root of 42823320 is about 349.8593176100.

The spelling of 42823320 in words is "forty-two million, eight hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 157 314 471 628 785 942 1256 1570 1884 2273 2355 3140 3768 4546 4710 6280 6819 9092 9420 11365 13638 18184 18840 22730 27276 34095 45460 54552 68190 90920 136380 272760 356861 713722 1070583 1427444 1784305 2141166 2854888 3568610 4282332 5352915 7137220 8564664 10705830 14274440 21411660 42823320