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5832275442 = 2371737277797
BaseRepresentation
bin1010110111010000…
…10111010111110010
3120001110110021211120
411123220113113302
543421030303232
62402421523110
7264346344330
oct53350272762
916043407746
105832275442
112523192954
121169273496
1371c402376
143d482cb50
1524205692c
hex15ba175f2

5832275442 has 128 divisors (see below), whose sum is σ = 14567164416. Its totient is φ = 1518538752.

The previous prime is 5832275431. The next prime is 5832275467. The reversal of 5832275442 is 2445722385.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 5832275394 and 5832275403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7317388 + ... + 7318184.

It is an arithmetic number, because the mean of its divisors is an integer number (113805972).

Almost surely, 25832275442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5832275442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7283582208).

5832275442 is an abundant number, since it is smaller than the sum of its proper divisors (8734888974).

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

5832275442 is a wasteful number, since it uses less digits than its factorization.

5832275442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140.

The product of its digits is 537600, while the sum is 42.

The square root of 5832275442 is about 76369.3357441323. The cubic root of 5832275442 is about 1800.0283372082.

The spelling of 5832275442 in words is "five billion, eight hundred thirty-two million, two hundred seventy-five thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 14 17 21 34 37 42 51 74 102 111 119 222 238 259 277 357 518 554 629 714 777 797 831 1258 1554 1594 1662 1887 1939 2391 3774 3878 4403 4709 4782 5579 5817 8806 9418 10249 11158 11634 13209 13549 14127 16737 20498 26418 27098 28254 29489 30747 32963 33474 40647 58978 61494 65926 71743 81294 88467 94843 98889 143486 174233 176934 189686 197778 206423 215229 220769 284529 348466 412846 430458 441538 501313 522699 569058 619269 662307 1002626 1045398 1219631 1238538 1324614 1503939 1545383 2439262 3007878 3090766 3509191 3658893 3753073 4636149 7018382 7317786 7506146 8168453 9272298 10527573 11259219 16336906 21055146 22518438 24505359 26271511 49010718 52543022 57179171 78814533 114358342 138863701 157629066 171537513 277727402 343075026 416591103 833182206 972045907 1944091814 2916137721 5832275442