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42626574 = 235139631
BaseRepresentation
bin1010001010011…
…0111000001110
32222012122200000
42202212320032
541403022244
64121345130
71025214504
oct242467016
988178600
1042626574
1122074a81
12123381a6
138aa6233
145938674
153b20169
hex28a6e0e

42626574 has 48 divisors (see below), whose sum is σ = 96620160. Its totient is φ = 14084280.

The previous prime is 42626569. The next prime is 42626609. The reversal of 42626574 is 47562624.

It is a Curzon number.

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, 67239 + ... + 67869.

It is an arithmetic number, because the mean of its divisors is an integer number (2012920).

Almost surely, 242626574 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42626574, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48310080).

42626574 is an abundant number, since it is smaller than the sum of its proper divisors (53993586).

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

42626574 is a wasteful number, since it uses less digits than its factorization.

42626574 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787 (or 775 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 42626574 is about 6528.9029706376. The cubic root of 42626574 is about 349.3227010616.

It can be divided in two parts, 426 and 26574, that added together give a cube (27000 = 303).

The spelling of 42626574 in words is "forty-two million, six hundred twenty-six thousand, five hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 54 81 139 162 243 278 417 486 631 834 1251 1262 1893 2502 3753 3786 5679 7506 11259 11358 17037 22518 33777 34074 51111 67554 87709 102222 153333 175418 263127 306666 526254 789381 1578762 2368143 4736286 7104429 14208858 21313287 42626574