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42248434100 = 2252733576377
BaseRepresentation
bin100111010110001100…
…111111000110110100
311001001100212211020112
4213112030333012310
51143011044342400
631224134322152
73023645523155
oct472614770664
9131040784215
1042248434100
1116a10159944
128230ab9358
133ca3b41642
14208b05592c
1511740be835
hex9d633f1b4

42248434100 has 36 divisors (see below), whose sum is σ = 91804335084. Its totient is φ = 16876289280.

The previous prime is 42248434093. The next prime is 42248434121. The reversal of 42248434100 is 143484224.

It can be written as a sum of positive squares in 6 ways, for example, as 6574290724 + 35674143376 = 81082^2 + 188876^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 214889 + ... + 361488.

It is an arithmetic number, because the mean of its divisors is an integer number (2550120419).

Almost surely, 242248434100 is an apocalyptic number.

It is an amenable number.

42248434100 is an abundant number, since it is smaller than the sum of its proper divisors (49555900984).

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

42248434100 is a wasteful number, since it uses less digits than its factorization.

42248434100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577124 (or 577117 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

The spelling of 42248434100 in words is "forty-two billion, two hundred forty-eight million, four hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 733 1466 2932 3665 7330 14660 18325 36650 73300 576377 1152754 2305508 2881885 5763770 11527540 14409425 28818850 57637700 422484341 844968682 1689937364 2112421705 4224843410 8449686820 10562108525 21124217050 42248434100