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42032223828 = 22327315380469
BaseRepresentation
bin100111001001010100…
…001101011001010100
311000111022001012111200
4213021110031121110
51142040222130303
631150452232500
73015412002420
oct471124153124
9130438035450
1042032223828
111690a104971
12819060b730
133c6b0ccb7a
14206a453b80
1511601123a3
hex9c950d654

42032223828 has 72 divisors (see below), whose sum is σ = 125343429120. Its totient is φ = 11621810880.

The previous prime is 42032223803. The next prime is 42032223851. The reversal of 42032223828 is 82832223024.

42032223828 is a `hidden beast` number, since 420 + 3 + 2 + 223 + 8 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42032223792 and 42032223801.

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, 2682423 + ... + 2698046.

It is an arithmetic number, because the mean of its divisors is an integer number (1740880960).

Almost surely, 242032223828 is an apocalyptic number.

It is an amenable number.

42032223828 is an abundant number, since it is smaller than the sum of its proper divisors (83311205292).

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

42032223828 is a wasteful number, since it uses less digits than its factorization.

42032223828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5380517 (or 5380512 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 42032223828 in words is "forty-two billion, thirty-two million, two hundred twenty-three thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 84 93 124 126 186 217 252 279 372 434 558 651 868 1116 1302 1953 2604 3906 7812 5380469 10760938 16141407 21521876 32282814 37663283 48424221 64565628 75326566 96848442 112989849 150653132 166794539 193696884 225979698 333589078 338969547 451959396 500383617 667178156 677939094 1000767234 1167561773 1355878188 1501150851 2001534468 2335123546 3002301702 3502685319 4670247092 6004603404 7005370638 10508055957 14010741276 21016111914 42032223828