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42365136 = 243111941103
BaseRepresentation
bin1010000110011…
…1000011010000
32221201101001010
42201213003100
541321141021
64112010520
71023045342
oct241470320
987641033
1042365136
1121a06610
1212230a40
138a14238
1458ab292
153abc976
hex28670d0

42365136 has 160 divisors (see below), whose sum is σ = 129991680. Its totient is φ = 11750400.

The previous prime is 42365131. The next prime is 42365161. The reversal of 42365136 is 63156324.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42365131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 411261 + ... + 411363.

It is an arithmetic number, because the mean of its divisors is an integer number (812448).

Almost surely, 242365136 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 42365136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64995840).

42365136 is an abundant number, since it is smaller than the sum of its proper divisors (87626544).

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

42365136 is a wasteful number, since it uses less digits than its factorization.

42365136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 179 counting only the distinct ones).

The product of its digits is 12960, while the sum is 30.

The square root of 42365136 is about 6508.8505897739. The cubic root of 42365136 is about 348.6070788073.

The spelling of 42365136 in words is "forty-two million, three hundred sixty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 38 41 44 48 57 66 76 82 88 103 114 123 132 152 164 176 206 209 228 246 264 304 309 328 412 418 451 456 492 528 618 627 656 779 824 836 902 912 984 1133 1236 1254 1353 1558 1648 1672 1804 1957 1968 2266 2337 2472 2508 2706 3116 3344 3399 3608 3914 4223 4532 4674 4944 5016 5412 5871 6232 6798 7216 7828 8446 8569 9064 9348 10032 10824 11742 12464 12669 13596 15656 16892 17138 18128 18696 21527 21648 23484 25338 25707 27192 31312 33784 34276 37392 43054 46453 46968 50676 51414 54384 64581 67568 68552 80237 86108 92906 93936 101352 102828 129162 137104 139359 160474 172216 185812 202704 205656 240711 258324 278718 320948 344432 371624 411312 481422 516648 557436 641896 743248 882607 962844 1033296 1114872 1283792 1765214 1925688 2229744 2647821 3530428 3851376 5295642 7060856 10591284 14121712 21182568 42365136