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42569920 = 265151881
BaseRepresentation
bin1010001001100…
…1000011000000
32222002202221201
42202121003000
541344214140
64120230544
71024560361
oct242310300
988082851
1042569920
1122036458
121230b454
138a86503
145921b68
153b0d49a
hex28990c0

42569920 has 56 divisors (see below), whose sum is σ = 102156768. Its totient is φ = 16896000.

The previous prime is 42569911. The next prime is 42569939. The reversal of 42569920 is 2996524.

It is a self number, because there is not a number n which added to its sum of digits gives 42569920.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47880 + ... + 48760.

It is an arithmetic number, because the mean of its divisors is an integer number (1824228).

Almost surely, 242569920 is an apocalyptic number.

42569920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42569920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51078384).

42569920 is an abundant number, since it is smaller than the sum of its proper divisors (59586848).

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

42569920 is a wasteful number, since it uses less digits than its factorization.

42569920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 42569920 is about 6524.5628206034. The cubic root of 42569920 is about 349.1678735238.

The spelling of 42569920 in words is "forty-two million, five hundred sixty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 151 160 302 320 604 755 881 1208 1510 1762 2416 3020 3524 4405 4832 6040 7048 8810 9664 12080 14096 17620 24160 28192 35240 48320 56384 70480 133031 140960 266062 281920 532124 665155 1064248 1330310 2128496 2660620 4256992 5321240 8513984 10642480 21284960 42569920