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42284925252 = 22321804365099
BaseRepresentation
bin100111011000011000…
…001100000101000100
311001010220112202200200
4213120120030011010
51143044420102002
631231520410500
73024600635313
oct473030140504
9131126482620
1042284925252
1116a29813219
128241176a30
133cab57a03b
142091c3427a
1511773cbb1c
hex9d860c144

42284925252 has 36 divisors (see below), whose sum is σ = 106894460400. Its totient is φ = 14093977392.

The previous prime is 42284925233. The next prime is 42284925269. The reversal of 42284925252 is 25252948224.

42284925252 is a `hidden beast` number, since 42 + 2 + 84 + 9 + 2 + 525 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 42284925198 and 42284925207.

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 11 ways as a sum of consecutive naturals, for example, 616999 + ... + 682097.

Almost surely, 242284925252 is an apocalyptic number.

It is an amenable number.

42284925252 is an abundant number, since it is smaller than the sum of its proper divisors (64609535148).

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

42284925252 is a wasteful number, since it uses less digits than its factorization.

42284925252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83152 (or 83147 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The spelling of 42284925252 in words is "forty-two billion, two hundred eighty-four million, nine hundred twenty-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 18043 36086 54129 65099 72172 108258 130198 162387 195297 216516 260396 324774 390594 585891 649548 781188 1171782 2343564 1174581257 2349162514 3523743771 4698325028 7047487542 10571231313 14094975084 21142462626 42284925252