Search a number
-
+
42935833528 = 23719315922063
BaseRepresentation
bin100111111111001011…
…001101001110111000
311002211021100022222121
4213333023031032320
51200413033133103
631420251531024
73046663364140
oct477713151670
9132737308877
1042935833528
1117233182245
1283a3159a74
13408338b573
14211446d920
1511b46036bd
hex9ff2cd3b8

42935833528 has 128 divisors (see below), whose sum is σ = 101670912000. Its totient is φ = 16583564160.

The previous prime is 42935833511. The next prime is 42935833537. The reversal of 42935833528 is 82533853924.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1935025 + ... + 1957087.

It is an arithmetic number, because the mean of its divisors is an integer number (794304000).

Almost surely, 242935833528 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 42935833528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50835456000).

42935833528 is an abundant number, since it is smaller than the sum of its proper divisors (58735078472).

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

42935833528 is a wasteful number, since it uses less digits than its factorization.

42935833528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22185 (or 22181 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 52.

The spelling of 42935833528 in words is "forty-two billion, nine hundred thirty-five million, eight hundred thirty-three thousand, five hundred twenty-eight".

Divisors: 1 2 4 7 8 14 19 28 31 38 56 59 62 76 118 124 133 152 217 236 248 266 413 434 472 532 589 826 868 1064 1121 1178 1652 1736 1829 2242 2356 3304 3658 4123 4484 4712 7316 7847 8246 8968 12803 14632 15694 16492 22063 25606 31388 32984 34751 44126 51212 62776 69502 88252 102424 139004 154441 176504 243257 278008 308882 419197 486514 617764 683953 838394 973028 1235528 1301717 1367906 1676788 1946056 2603434 2735812 2934379 3353576 4787671 5206868 5471624 5868758 9112019 9575342 10413736 11737516 12995107 18224038 19150684 23475032 24732623 25990214 36448076 38301368 40353227 49465246 51980428 72896152 80706454 90965749 98930492 103960856 161412908 173128361 181931498 197860984 282472589 322825816 346256722 363862996 564945178 692513444 727725992 766711313 1129890356 1385026888 1533422626 2259780712 3066845252 5366979191 6133690504 10733958382 21467916764 42935833528