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42600460 = 2257973137
BaseRepresentation
bin1010001010000…
…0100000001100
32222011022211211
42202200200030
541401203320
64121024204
71025045410
oct242404014
988138754
1042600460
11220573a1
1212325064
138a97396
14592cd40
153b1755a
hex28a080c

42600460 has 48 divisors (see below), whose sum is σ = 103328064. Its totient is φ = 14450688.

The previous prime is 42600457. The next prime is 42600463. The reversal of 42600460 is 6400624.

It is an interprime number because it is at equal distance from previous prime (42600457) and next prime (42600463).

It is not an unprimeable number, because it can be changed into a prime (42600463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12012 + ... + 15148.

It is an arithmetic number, because the mean of its divisors is an integer number (2152668).

Almost surely, 242600460 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 42600460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51664032).

42600460 is an abundant number, since it is smaller than the sum of its proper divisors (60727604).

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

42600460 is a wasteful number, since it uses less digits than its factorization.

42600460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3250 (or 3248 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 42600460 is about 6526.9027876934. The cubic root of 42600460 is about 349.2513521696.

The spelling of 42600460 in words is "forty-two million, six hundred thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 97 140 194 388 485 679 970 1358 1940 2716 3137 3395 6274 6790 12548 13580 15685 21959 31370 43918 62740 87836 109795 219590 304289 439180 608578 1217156 1521445 2130023 3042890 4260046 6085780 8520092 10650115 21300230 42600460