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2042400432 = 243163261043
BaseRepresentation
bin111100110111100…
…1000111010110000
312021100010200200110
41321233020322300
513140323303212
6534355421320
7101420055132
oct17157107260
95240120613
102042400432
11958977746
1248bbb4840
132671a1687
14155375052
15be48aa3c
hex79bc8eb0

2042400432 has 40 divisors (see below), whose sum is σ = 5308590784. Its totient is φ = 676620864.

The previous prime is 2042400431. The next prime is 2042400457. The reversal of 2042400432 is 2340042402.

It is a junction number, because it is equal to n+sod(n) for n = 2042400399 and 2042400408.

It is not an unprimeable number, because it can be changed into a prime (2042400431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122698 + ... + 138345.

Almost surely, 22042400432 is an apocalyptic number.

It is an amenable number.

2042400432 is an abundant number, since it is smaller than the sum of its proper divisors (3266190352).

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

2042400432 is a wasteful number, since it uses less digits than its factorization.

2042400432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261217 (or 261211 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 2042400432 is about 45192.9245789648. The cubic root of 2042400432 is about 1268.7623944950.

Adding to 2042400432 its reverse (2340042402), we get a palindrome (4382442834).

The spelling of 2042400432 in words is "two billion, forty-two million, four hundred thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 163 326 489 652 978 1304 1956 2608 3912 7824 261043 522086 783129 1044172 1566258 2088344 3132516 4176688 6265032 12530064 42550009 85100018 127650027 170200036 255300054 340400072 510600108 680800144 1021200216 2042400432