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5842295820 = 22325174146567
BaseRepresentation
bin1010111000011101…
…00101110000001100
3120002011022101012200
411130032211300030
543431111431240
62403420401500
7264530460264
oct53416456014
916064271180
105842295820
112528907359
1211706a6290
1372150029a
143d5cba7a4
15242d85930
hex15c3a5c0c

5842295820 has 144 divisors (see below), whose sum is σ = 19222152768. Its totient is φ = 1430507520.

The previous prime is 5842295761. The next prime is 5842295827. The reversal of 5842295820 is 285922485.

5842295820 is a `hidden beast` number, since 5 + 8 + 42 + 29 + 582 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5842295827) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102177 + ... + 148743.

It is an arithmetic number, because the mean of its divisors is an integer number (133487172).

Almost surely, 25842295820 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 5842295820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9611076384).

5842295820 is an abundant number, since it is smaller than the sum of its proper divisors (13379856948).

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

5842295820 is a wasteful number, since it uses less digits than its factorization.

5842295820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46640 (or 46635 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 5842295820 is about 76434.9123110637. The cubic root of 5842295820 is about 1801.0586180231.

The spelling of 5842295820 in words is "five billion, eight hundred forty-two million, two hundred ninety-five thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 41 45 51 60 68 82 85 90 102 123 153 164 170 180 204 205 246 255 306 340 369 410 492 510 612 615 697 738 765 820 1020 1230 1394 1476 1530 1845 2091 2460 2788 3060 3485 3690 4182 6273 6970 7380 8364 10455 12546 13940 20910 25092 31365 41820 46567 62730 93134 125460 139701 186268 232835 279402 419103 465670 558804 698505 791639 838206 931340 1397010 1583278 1676412 1909247 2095515 2374917 2794020 3166556 3818494 3958195 4191030 4749834 5727741 7124751 7636988 7916390 8382060 9499668 9546235 11455482 11874585 14249502 15832780 17183223 19092470 22910964 23749170 28499004 28638705 32457199 34366446 35623755 38184940 47498340 57277410 64914398 68732892 71247510 85916115 97371597 114554820 129828796 142495020 162285995 171832230 194743194 292114791 324571990 343664460 389486388 486857985 584229582 649143980 973715970 1168459164 1460573955 1947431940 2921147910 5842295820