Search a number
-
+
42229242 = 23311223281
BaseRepresentation
bin1010000100010…
…1110111111010
32221110110122000
42201011313322
541302313432
64105041430
71021641216
oct241056772
987413560
1042229242
1121923500
1212186276
138997423
145873946
153a9257c
hex2845dfa

42229242 has 96 divisors (see below), whose sum is σ = 108017280. Its totient is φ = 12196800.

The previous prime is 42229237. The next prime is 42229261. The reversal of 42229242 is 24292224.

It is a happy number.

It is a super-4 number, since 4×422292424 (a number of 32 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150142 + ... + 150422.

It is an arithmetic number, because the mean of its divisors is an integer number (1125180).

Almost surely, 242229242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42229242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54008640).

42229242 is an abundant number, since it is smaller than the sum of its proper divisors (65788038).

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

42229242 is a wasteful number, since it uses less digits than its factorization.

42229242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 320 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 42229242 is about 6498.4030345924. The cubic root of 42229242 is about 348.2339390158.

The spelling of 42229242 in words is "forty-two million, two hundred twenty-nine thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 23 27 33 46 54 66 69 99 121 138 198 207 242 253 281 297 363 414 506 562 594 621 726 759 843 1089 1242 1518 1686 2178 2277 2529 2783 3091 3267 4554 5058 5566 6182 6463 6534 6831 7587 8349 9273 12926 13662 15174 16698 18546 19389 25047 27819 34001 38778 50094 55638 58167 68002 71093 75141 83457 102003 116334 142186 150282 166914 174501 204006 213279 306009 349002 426558 612018 639837 782023 918027 1279674 1564046 1836054 1919511 2346069 3839022 4692138 7038207 14076414 21114621 42229242