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42385504 = 2571923433
BaseRepresentation
bin1010000110110…
…0000001100000
32221202101222111
42201230001200
541322314004
64112245104
71023161620
oct241540140
987671874
1042385504
1121a1a947
1212240794
138a205a5
1458b4880
153ac3a04
hex286c060

42385504 has 96 divisors (see below), whose sum is σ = 104993280. Its totient is φ = 16422912.

The previous prime is 42385457. The next prime is 42385507. The reversal of 42385504 is 40558324.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42385507) 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, 97672 + ... + 98104.

It is an arithmetic number, because the mean of its divisors is an integer number (1093680).

Almost surely, 242385504 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 42385504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52496640).

42385504 is an abundant number, since it is smaller than the sum of its proper divisors (62607776).

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

42385504 is a wasteful number, since it uses less digits than its factorization.

42385504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

The square root of 42385504 is about 6510.4150405331. The cubic root of 42385504 is about 348.6629367765.

The spelling of 42385504 in words is "forty-two million, three hundred eighty-five thousand, five hundred four".

Divisors: 1 2 4 7 8 14 16 19 23 28 32 38 46 56 76 92 112 133 152 161 184 224 266 304 322 368 433 437 532 608 644 736 866 874 1064 1288 1732 1748 2128 2576 3031 3059 3464 3496 4256 5152 6062 6118 6928 6992 8227 9959 12124 12236 13856 13984 16454 19918 24248 24472 32908 39836 48496 48944 57589 65816 69713 79672 96992 97888 115178 131632 139426 159344 189221 230356 263264 278852 318688 378442 460712 557704 756884 921424 1115408 1324547 1513768 1842848 2230816 2649094 3027536 5298188 6055072 10596376 21192752 42385504