Search a number
-
+
42747796 = 22721319883
BaseRepresentation
bin1010001100010…
…0011110010100
32222102210221201
42203010132110
541420412141
64124122244
71026231100
oct243043624
988383851
1042747796
1122148063
1212396384
138b19470
14596a900
153b46031
hex28c4794

42747796 has 72 divisors (see below), whose sum is σ = 98760480. Its totient is φ = 16003008.

The previous prime is 42747773. The next prime is 42747797. The reversal of 42747796 is 69774724.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42747797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47971 + ... + 48853.

Almost surely, 242747796 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 42747796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49380240).

42747796 is an abundant number, since it is smaller than the sum of its proper divisors (56012684).

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

42747796 is a wasteful number, since it uses less digits than its factorization.

42747796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933 (or 924 counting only the distinct ones).

The product of its digits is 592704, while the sum is 46.

The square root of 42747796 is about 6538.1798690461. The cubic root of 42747796 is about 349.6535237920.

The spelling of 42747796 in words is "forty-two million, seven hundred forty-seven thousand, seven hundred ninety-six".

Divisors: 1 2 4 7 13 14 19 26 28 38 49 52 76 91 98 133 182 196 247 266 364 494 532 637 883 931 988 1274 1729 1766 1862 2548 3458 3532 3724 6181 6916 11479 12103 12362 16777 22958 24206 24724 33554 43267 45916 48412 67108 80353 86534 117439 160706 173068 218101 234878 321412 436202 469756 562471 822073 872404 1124942 1526707 1644146 2249884 3053414 3288292 6106828 10686949 21373898 42747796