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42255738 = 23272232083
BaseRepresentation
bin1010000100110…
…0010101111010
32221111210222100
42201030111322
541304140423
64105404230
71022111400
oct241142572
987453870
1042255738
11219413a8
1212199676
1389a64c5
14587d470
153a9a343
hex284c57a

42255738 has 72 divisors (see below), whose sum is σ = 111185568. Its totient is φ = 11542608.

The previous prime is 42255701. The next prime is 42255749. The reversal of 42255738 is 83755224.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19245 + ... + 21327.

It is an arithmetic number, because the mean of its divisors is an integer number (1544244).

Almost surely, 242255738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42255738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55592784).

42255738 is an abundant number, since it is smaller than the sum of its proper divisors (68929830).

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

42255738 is a wasteful number, since it uses less digits than its factorization.

42255738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2128 (or 2118 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 42255738 is about 6500.4413696302. The cubic root of 42255738 is about 348.3067548890.

The spelling of 42255738 in words is "forty-two million, two hundred fifty-five thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 49 63 69 98 126 138 147 161 207 294 322 414 441 483 882 966 1127 1449 2083 2254 2898 3381 4166 6249 6762 10143 12498 14581 18747 20286 29162 37494 43743 47909 87486 95818 102067 131229 143727 204134 262458 287454 306201 335363 431181 612402 670726 862362 918603 1006089 1837206 2012178 2347541 3018267 4695082 6036534 7042623 14085246 21127869 42255738