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42634600 = 2352213173
BaseRepresentation
bin1010001010100…
…0110101101000
32222020001200021
42202220311220
541403301400
64121450224
71025250061
oct242506550
988201607
1042634600
1122080008
1212340974
138aa9a98
14593b568
153b2271a
hex28a8d68

42634600 has 24 divisors (see below), whose sum is σ = 99125910. Its totient is φ = 17053760.

The previous prime is 42634591. The next prime is 42634621. The reversal of 42634600 is 643624.

It can be written as a sum of positive squares in 3 ways, for example, as 27688644 + 14945956 = 5262^2 + 3866^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 106387 + ... + 106786.

Almost surely, 242634600 is an apocalyptic number.

42634600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42634600 is an abundant number, since it is smaller than the sum of its proper divisors (56491310).

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

42634600 is a wasteful number, since it uses less digits than its factorization.

42634600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213189 (or 213180 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 42634600 is about 6529.5175932070. The cubic root of 42634600 is about 349.3446239124.

It can be divided in two parts, 42634 and 600, that added together give a palindrome (43234).

The spelling of 42634600 in words is "forty-two million, six hundred thirty-four thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 213173 426346 852692 1065865 1705384 2131730 4263460 5329325 8526920 10658650 21317300 42634600