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42325776 = 24324167107
BaseRepresentation
bin1010000101110…
…1011100010000
32221122101001100
42201131130100
541313411101
64111104400
71022522523
oct241353420
987571040
1042325776
1121989a89
1212212100
1389cc34c
14589abba
153ab0e86
hex285d710

42325776 has 120 divisors (see below), whose sum is σ = 124304544. Its totient is φ = 13432320.

The previous prime is 42325771. The next prime is 42325781. The reversal of 42325776 is 67752324.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42325771) and next prime (42325781).

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

It is a self number, because there is not a number n which added to its sum of digits gives 42325776.

It is not an unprimeable number, because it can be changed into a prime (42325771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 395515 + ... + 395621.

Almost surely, 242325776 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 42325776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62152272).

42325776 is an abundant number, since it is smaller than the sum of its proper divisors (81978768).

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

42325776 is a wasteful number, since it uses less digits than its factorization.

42325776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 220 counting only the distinct ones).

The product of its digits is 70560, while the sum is 36.

The square root of 42325776 is about 6505.8263118531. The cubic root of 42325776 is about 348.4990857151.

The spelling of 42325776 in words is "forty-two million, three hundred twenty-five thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 67 72 82 107 123 134 144 164 201 214 246 268 321 328 369 402 428 492 536 603 642 656 738 804 856 963 984 1072 1206 1284 1476 1608 1712 1926 1968 2412 2568 2747 2952 3216 3852 4387 4824 5136 5494 5904 7169 7704 8241 8774 9648 10988 13161 14338 15408 16482 17548 21507 21976 24723 26322 28676 32964 35096 39483 43014 43952 49446 52644 57352 64521 65928 70192 78966 86028 98892 105288 114704 129042 131856 157932 172056 197784 210576 258084 293929 315864 344112 395568 516168 587858 631728 881787 1032336 1175716 1763574 2351432 2645361 3527148 4702864 5290722 7054296 10581444 14108592 21162888 42325776