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42251560 = 23513193421
BaseRepresentation
bin1010000100101…
…1010100101000
32221111121020121
42201023110220
541304022220
64105333024
71022063251
oct241132450
987447217
1042251560
112193924a
1212197174
1389a4630
14587bb28
153a98eaa
hex284b528

42251560 has 64 divisors (see below), whose sum is σ = 103153680. Its totient is φ = 15482880.

The previous prime is 42251549. The next prime is 42251567. The reversal of 42251560 is 6515224.

It can be written as a sum of positive squares in 8 ways, for example, as 27556 + 42224004 = 166^2 + 6498^2 .

It is not an unprimeable number, because it can be changed into a prime (42251567) 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, 100150 + ... + 100570.

Almost surely, 242251560 is an apocalyptic number.

42251560 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 42251560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51576840).

42251560 is an abundant number, since it is smaller than the sum of its proper divisors (60902120).

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

42251560 is a wasteful number, since it uses less digits than its factorization.

42251560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 42251560 is about 6500.1199988923. The cubic root of 42251560 is about 348.2952749997.

Adding to 42251560 its reverse (6515224), we get a palindrome (48766784).

The spelling of 42251560 in words is "forty-two million, two hundred fifty-one thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 193 260 386 421 520 772 842 965 1544 1684 1930 2105 2509 3368 3860 4210 5018 5473 7720 8420 10036 10946 12545 16840 20072 21892 25090 27365 43784 50180 54730 81253 100360 109460 162506 218920 325012 406265 650024 812530 1056289 1625060 2112578 3250120 4225156 5281445 8450312 10562890 21125780 42251560