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42188562 = 23213296217
BaseRepresentation
bin1010000011101…
…1111100010010
32221101101211100
42200323330102
541300013222
64104125230
71021411503
oct240737422
987341740
1042188562
11218a5989
1212166816
138981a60
145862baa
153a854ac
hex283bf12

42188562 has 48 divisors (see below), whose sum is σ = 101850840. Its totient is φ = 12531456.

The previous prime is 42188557. The next prime is 42188567. The reversal of 42188562 is 26588124.

42188562 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 (42188557) and next prime (42188567).

It can be written as a sum of positive squares in 4 ways, for example, as 34117281 + 8071281 = 5841^2 + 2841^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (42188567) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3678 + ... + 9894.

Almost surely, 242188562 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42188562, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50925420).

42188562 is an abundant number, since it is smaller than the sum of its proper divisors (59662278).

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

42188562 is a wasteful number, since it uses less digits than its factorization.

42188562 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6267 (or 6264 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 42188562 is about 6495.2722806669. The cubic root of 42188562 is about 348.1220836030.

The spelling of 42188562 in words is "forty-two million, one hundred eighty-eight thousand, five hundred sixty-two".

Divisors: 1 2 3 6 9 13 18 26 29 39 58 78 87 117 174 234 261 377 522 754 1131 2262 3393 6217 6786 12434 18651 37302 55953 80821 111906 161642 180293 242463 360586 484926 540879 727389 1081758 1454778 1622637 2343809 3245274 4687618 7031427 14062854 21094281 42188562