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42385356 = 22341329347
BaseRepresentation
bin1010000110101…
…1111111001100
32221202101210000
42201223333030
541322312411
64112244300
71023161316
oct241537714
987671700
1042385356
1121a1a822
1212240690
138a204c0
1458b47b6
153ac3956
hex286bfcc

42385356 has 120 divisors (see below), whose sum is σ = 123797520. Its totient is φ = 12555648.

The previous prime is 42385337. The next prime is 42385363. The reversal of 42385356 is 65358324.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 42385356.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 121975 + ... + 122321.

It is an arithmetic number, because the mean of its divisors is an integer number (1031646).

Almost surely, 242385356 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42385356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61898760).

42385356 is an abundant number, since it is smaller than the sum of its proper divisors (81412164).

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

42385356 is a wasteful number, since it uses less digits than its factorization.

42385356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 394 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 42385356 is about 6510.4036741204. The cubic root of 42385356 is about 348.6625309603.

The spelling of 42385356 in words is "forty-two million, three hundred eighty-five thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 29 36 39 52 54 58 78 81 87 108 116 117 156 162 174 234 261 324 347 348 351 377 468 522 694 702 754 783 1041 1044 1053 1131 1388 1404 1508 1566 2082 2106 2262 2349 3123 3132 3393 4164 4212 4511 4524 4698 6246 6786 9022 9369 9396 10063 10179 12492 13533 13572 18044 18738 20126 20358 27066 28107 30189 30537 37476 40252 40599 40716 54132 56214 60378 61074 81198 90567 112428 120756 121797 122148 130819 162396 181134 243594 261638 271701 362268 365391 392457 487188 523276 543402 730782 784914 815103 1086804 1177371 1461564 1569828 1630206 2354742 3260412 3532113 4709484 7064226 10596339 14128452 21192678 42385356