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42569472 = 283115039
BaseRepresentation
bin1010001001100…
…0111100000000
32222002202100010
42202120330000
541344210342
64120224520
71024556151
oct242307400
988082303
1042569472
1122036090
121230b140
138a8624a
145921928
153b0d29c
hex2898f00

42569472 has 72 divisors (see below), whose sum is σ = 123621120. Its totient is φ = 12897280.

The previous prime is 42569459. The next prime is 42569489. The reversal of 42569472 is 27496524.

It is a self number, because there is not a number n which added to its sum of digits gives 42569472.

It is a congruent number.

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, 5929 + ... + 10967.

It is an arithmetic number, because the mean of its divisors is an integer number (1716960).

Almost surely, 242569472 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 42569472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61810560).

42569472 is an abundant number, since it is smaller than the sum of its proper divisors (81051648).

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

42569472 is a wasteful number, since it uses less digits than its factorization.

42569472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5069 (or 5055 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 42569472 is about 6524.5284887109. The cubic root of 42569472 is about 349.1666486546.

The spelling of 42569472 in words is "forty-two million, five hundred sixty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1408 2112 2816 4224 5039 8448 10078 15117 20156 30234 40312 55429 60468 80624 110858 120936 161248 166287 221716 241872 322496 332574 443432 483744 644992 665148 886864 967488 1289984 1330296 1773728 1934976 2660592 3547456 3869952 5321184 7094912 10642368 14189824 21284736 42569472