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42916620 = 223523137227
BaseRepresentation
bin1010001110110…
…1101100001100
32222202101112110
42203231230030
541441312440
64131504020
71030533225
oct243555414
988671473
1042916620
112225298a
1212458010
138b78266
1459b224c
153b7b080
hex28edb0c

42916620 has 96 divisors (see below), whose sum is σ = 126862848. Its totient is φ = 10819072.

The previous prime is 42916579. The next prime is 42916631. The reversal of 42916620 is 2661924.

42916620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 188947 + ... + 189173.

It is an arithmetic number, because the mean of its divisors is an integer number (1321488).

Almost surely, 242916620 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 42916620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63431424).

42916620 is an abundant number, since it is smaller than the sum of its proper divisors (83946228).

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

42916620 is a wasteful number, since it uses less digits than its factorization.

42916620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 42916620 is about 6551.0777739239. The cubic root of 42916620 is about 350.1132150749.

The spelling of 42916620 in words is "forty-two million, nine hundred sixteen thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 137 138 227 230 274 276 345 411 454 460 548 681 685 690 822 908 1135 1362 1370 1380 1644 2055 2270 2724 2740 3151 3405 4110 4540 5221 6302 6810 8220 9453 10442 12604 13620 15663 15755 18906 20884 26105 31099 31326 31510 37812 47265 52210 62198 62652 63020 78315 93297 94530 104420 124396 155495 156630 186594 189060 310990 313260 373188 466485 621980 715277 932970 1430554 1865940 2145831 2861108 3576385 4291662 7152770 8583324 10729155 14305540 21458310 42916620