Search a number
-
+
42974352 = 243219113139
BaseRepresentation
bin1010001111101…
…1110010010000
32222212022201200
42203323302100
542000134402
64133031200
71031163441
oct243736220
988768650
1042974352
11222922a3
1212485500
138b98615
1459c92c8
153b8d21c
hex28fbc90

42974352 has 120 divisors (see below), whose sum is σ = 128637600. Its totient is φ = 13353984.

The previous prime is 42974311. The next prime is 42974357. The reversal of 42974352 is 25347924.

42974352 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 (36).

It is not an unprimeable number, because it can be changed into a prime (42974357) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 309099 + ... + 309237.

It is an arithmetic number, because the mean of its divisors is an integer number (1071980).

It is a vampire number, since it can be written as 54247923 (with its own digits).

Almost surely, 242974352 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 42974352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64318800).

42974352 is an abundant number, since it is smaller than the sum of its proper divisors (85663248).

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

42974352 is a wasteful number, since it uses less digits than its factorization.

42974352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 276 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 42974352 is about 6555.4825909310. The cubic root of 42974352 is about 350.2701370274.

It can be divided in two parts, 4297 and 4352, that added together give a square (8649 = 932).

The spelling of 42974352 in words is "forty-two million, nine hundred seventy-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 113 114 139 144 152 171 226 228 278 304 339 342 417 452 456 556 678 684 834 904 912 1017 1112 1251 1356 1368 1668 1808 2034 2147 2224 2502 2641 2712 2736 3336 4068 4294 5004 5282 5424 6441 6672 7923 8136 8588 10008 10564 12882 15707 15846 16272 17176 19323 20016 21128 23769 25764 31414 31692 34352 38646 42256 47121 47538 51528 62828 63384 77292 94242 95076 103056 125656 126768 141363 154584 188484 190152 251312 282726 298433 309168 376968 380304 565452 596866 753936 895299 1130904 1193732 1790598 2261808 2387464 2685897 3581196 4774928 5371794 7162392 10743588 14324784 21487176 42974352