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42302124 = 22322115569
BaseRepresentation
bin1010000101011…
…1101010101100
32221121011121100
42201113222230
541312131444
64110403100
71022363544
oct241275254
987534540
1042302124
1121973237
1212200490
1389c1657
145892324
153aa8e69
hex2857aac

42302124 has 36 divisors (see below), whose sum is σ = 107456440. Its totient is φ = 14031360.

The previous prime is 42302101. The next prime is 42302147. The reversal of 42302124 is 42120324.

42302124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42302101) and next prime (42302147).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×423021242 = 3578939389822752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 42302097 and 42302106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4812 + ... + 10380.

Almost surely, 242302124 is an apocalyptic number.

It is an amenable number.

42302124 is an abundant number, since it is smaller than the sum of its proper divisors (65154316).

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

42302124 is a wasteful number, since it uses less digits than its factorization.

42302124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5790 (or 5785 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 42302124 is about 6504.0083025777. The cubic root of 42302124 is about 348.4341588786.

Adding to 42302124 its reverse (42120324), we get a palindrome (84422448).

The spelling of 42302124 in words is "forty-two million, three hundred two thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 211 422 633 844 1266 1899 2532 3798 5569 7596 11138 16707 22276 33414 50121 66828 100242 200484 1175059 2350118 3525177 4700236 7050354 10575531 14100708 21151062 42302124