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42522032 = 2471723971
BaseRepresentation
bin1010001000110…
…1010110110000
32222000100021002
42202031112300
541341201112
64115221132
71024300640
oct242152660
988010232
1042522032
1122003483
12122a77a8
138a6a787
14590c520
153aee1c2
hex288d5b0

42522032 has 80 divisors (see below), whose sum is σ = 104136192. Its totient is φ = 16389120.

The previous prime is 42522031. The next prime is 42522061. The reversal of 42522032 is 23022524.

It is a junction number, because it is equal to n+sod(n) for n = 42521995 and 42522013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42522031) 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 15 ways as a sum of consecutive naturals, for example, 43307 + ... + 44277.

Almost surely, 242522032 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 42522032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52068096).

42522032 is an abundant number, since it is smaller than the sum of its proper divisors (61614160).

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

42522032 is a wasteful number, since it uses less digits than its factorization.

42522032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 42522032 is about 6520.8919635277. The cubic root of 42522032 is about 349.0368950849.

Adding to 42522032 its reverse (23022524), we get a palindrome (65544556).

It can be divided in two parts, 425 and 22032, that multiplied together give a square (9363600 = 30602).

The spelling of 42522032 in words is "forty-two million, five hundred twenty-two thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 17 23 28 34 46 56 68 92 112 119 136 161 184 238 272 322 368 391 476 644 782 952 971 1288 1564 1904 1942 2576 2737 3128 3884 5474 6256 6797 7768 10948 13594 15536 16507 21896 22333 27188 33014 43792 44666 54376 66028 89332 108752 115549 132056 156331 178664 231098 264112 312662 357328 379661 462196 625324 759322 924392 1250648 1518644 1848784 2501296 2657627 3037288 5315254 6074576 10630508 21261016 42522032