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42533440 = 265235779
BaseRepresentation
bin1010001001000…
…0001001000000
32222000220220121
42202100021000
541342032230
64115350024
71024346125
oct242201100
988026817
1042533440
1122011004
12122b2314
138a72a21
14591274c
153b0277a
hex2890240

42533440 has 56 divisors (see below), whose sum is σ = 105704640. Its totient is φ = 16270848.

The previous prime is 42533429. The next prime is 42533467. The reversal of 42533440 is 4433524.

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, 4471 + ... + 10249.

Almost surely, 242533440 is an apocalyptic number.

42533440 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 42533440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52852320).

42533440 is an abundant number, since it is smaller than the sum of its proper divisors (63171200).

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

42533440 is a wasteful number, since it uses less digits than its factorization.

42533440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5819 (or 5809 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

The square root of 42533440 is about 6521.7666318261. The cubic root of 42533440 is about 349.0681060179.

Adding to 42533440 its reverse (4433524), we get a palindrome (46966964).

The spelling of 42533440 in words is "forty-two million, five hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 160 184 230 320 368 460 736 920 1472 1840 3680 5779 7360 11558 23116 28895 46232 57790 92464 115580 132917 184928 231160 265834 369856 462320 531668 664585 924640 1063336 1329170 1849280 2126672 2658340 4253344 5316680 8506688 10633360 21266720 42533440