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2442423792 = 243411518219
BaseRepresentation
bin1001000110010100…
…0110110111110000
320022012211222120110
42101211012313300
520000230030132
61042205341320
7114345155034
oct22145066760
96265758513
102442423792
111043759166
12581b67840
132cc0207a3
141925441c4
15e46561cc
hex91946df0

2442423792 has 80 divisors (see below), whose sum is σ = 6507083520. Its totient is φ = 788928000.

The previous prime is 2442423773. The next prime is 2442423793. The reversal of 2442423792 is 2973242442.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2442423792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2442423793) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 293059 + ... + 301277.

It is an arithmetic number, because the mean of its divisors is an integer number (81338544).

Almost surely, 22442423792 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 2442423792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3253541760).

2442423792 is an abundant number, since it is smaller than the sum of its proper divisors (4064659728).

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

2442423792 is a wasteful number, since it uses less digits than its factorization.

2442423792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8422 (or 8416 counting only the distinct ones).

The product of its digits is 193536, while the sum is 39.

The square root of 2442423792 is about 49420.8841685375. The cubic root of 2442423792 is about 1346.7087253908.

The spelling of 2442423792 in words is "two billion, four hundred forty-two million, four hundred twenty-three thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 151 164 246 302 328 453 492 604 656 906 984 1208 1812 1968 2416 3624 6191 7248 8219 12382 16438 18573 24657 24764 32876 37146 49314 49528 65752 74292 98628 99056 131504 148584 197256 297168 336979 394512 673958 1010937 1241069 1347916 2021874 2482138 2695832 3723207 4043748 4964276 5391664 7446414 8087496 9928552 14892828 16174992 19857104 29785656 50883829 59571312 101767658 152651487 203535316 305302974 407070632 610605948 814141264 1221211896 2442423792