Search a number
-
+
42217236 = 22322367761
BaseRepresentation
bin1010000100001…
…0111100010100
32221102212011100
42201002330110
541301422421
64104510100
71021561215
oct241027424
987385140
1042217236
1121915486
121217b330
138991b19
14586d40c
153a8dc26
hex2842f14

42217236 has 72 divisors (see below), whose sum is σ = 113166144. Its totient is φ = 13242240.

The previous prime is 42217229. The next prime is 42217237. The reversal of 42217236 is 63271224.

42217236 is a `hidden beast` number, since 422 + 1 + 7 + 236 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42217237) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55096 + ... + 55856.

It is an arithmetic number, because the mean of its divisors is an integer number (1571752).

Almost surely, 242217236 is an apocalyptic number.

42217236 is a gapful number since it is divisible by the number (46) 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 42217236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56583072).

42217236 is an abundant number, since it is smaller than the sum of its proper divisors (70948908).

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

42217236 is a wasteful number, since it uses less digits than its factorization.

42217236 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 856 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 42217236 is about 6497.4792035065. The cubic root of 42217236 is about 348.2009342956.

The spelling of 42217236 in words is "forty-two million, two hundred seventeen thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 67 69 92 134 138 201 207 268 276 402 414 603 761 804 828 1206 1522 1541 2283 2412 3044 3082 4566 4623 6164 6849 9132 9246 13698 13869 17503 18492 27396 27738 35006 50987 52509 55476 70012 101974 105018 152961 157527 203948 210036 305922 315054 458883 611844 630108 917766 1172701 1835532 2345402 3518103 4690804 7036206 10554309 14072412 21108618 42217236