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42515592 = 23372311003
BaseRepresentation
bin1010001000101…
…1110010001000
32222000000102120
42202023302020
541340444332
64115131240
71024243110
oct242136210
988000376
1042515592
1121aa9659
12122a3b20
138a67872
14590a040
153aec32c
hex288bc88

42515592 has 64 divisors (see below), whose sum is σ = 126766080. Its totient is φ = 11618112.

The previous prime is 42515591. The next prime is 42515609. The reversal of 42515592 is 29551524.

It is a super-2 number, since 2×425155922 = 3615151126220928, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42515591) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1638 + ... + 9365.

It is an arithmetic number, because the mean of its divisors is an integer number (1980720).

Almost surely, 242515592 is an apocalyptic number.

42515592 is a gapful number since it is divisible by the number (42) 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 42515592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63383040).

42515592 is an abundant number, since it is smaller than the sum of its proper divisors (84250488).

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

42515592 is a wasteful number, since it uses less digits than its factorization.

42515592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11042 (or 11038 counting only the distinct ones).

The product of its digits is 18000, while the sum is 33.

The square root of 42515592 is about 6520.3981473527. The cubic root of 42515592 is about 349.0192735447.

The spelling of 42515592 in words is "forty-two million, five hundred fifteen thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 84 92 138 161 168 184 276 322 483 552 644 966 1288 1932 3864 11003 22006 33009 44012 66018 77021 88024 132036 154042 231063 253069 264072 308084 462126 506138 616168 759207 924252 1012276 1518414 1771483 1848504 2024552 3036828 3542966 5314449 6073656 7085932 10628898 14171864 21257796 42515592