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42952536 = 233211193281
BaseRepresentation
bin1010001111011…
…0011101011000
32222211012210200
42203312131120
541443440121
64132342200
71031043024
oct243663530
988735720
1042952536
1122277970
1212474960
138b8b703
1459c1384
153b86a26
hex28f6758

42952536 has 96 divisors (see below), whose sum is σ = 128016720. Its totient is φ = 12902400.

The previous prime is 42952519. The next prime is 42952603. The reversal of 42952536 is 63525924.

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 42952536.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152716 + ... + 152996.

Almost surely, 242952536 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 42952536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64008360).

42952536 is an abundant number, since it is smaller than the sum of its proper divisors (85064184).

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

42952536 is a wasteful number, since it uses less digits than its factorization.

42952536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 490 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 42952536 is about 6553.8184289771. The cubic root of 42952536 is about 350.2108552590.

The spelling of 42952536 in words is "forty-two million, nine hundred fifty-two thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 193 198 264 281 386 396 562 579 772 792 843 1124 1158 1544 1686 1737 2123 2248 2316 2529 3091 3372 3474 4246 4632 5058 6182 6369 6744 6948 8492 9273 10116 12364 12738 13896 16984 18546 19107 20232 24728 25476 27819 37092 38214 50952 54233 55638 74184 76428 108466 111276 152856 162699 216932 222552 325398 433864 488097 596563 650796 976194 1193126 1301592 1789689 1952388 2386252 3579378 3904776 4772504 5369067 7158756 10738134 14317512 21476268 42952536