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5582020392 = 2334133717909
BaseRepresentation
bin1010011001011011…
…01101111100101000
3112102000120000110000
411030231231330220
542412444123032
62321522023000
7255220250634
oct51455557450
915360500400
105582020392
1124049a55a3
1210b94a7a60
136ac600860
143ad4c7dc4
1522a0c1e7c
hex14cb6df28

5582020392 has 160 divisors (see below), whose sum is σ = 17293537800. Its totient is φ = 1671031296.

The previous prime is 5582020387. The next prime is 5582020441. The reversal of 5582020392 is 2930202855.

It can be written as a sum of positive squares in 4 ways, for example, as 4770112356 + 811908036 = 69066^2 + 28494^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 302734 + ... + 320642.

Almost surely, 25582020392 is an apocalyptic number.

5582020392 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5582020392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8646768900).

5582020392 is an abundant number, since it is smaller than the sum of its proper divisors (11711517408).

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

5582020392 is a wasteful number, since it uses less digits than its factorization.

5582020392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17977 (or 17964 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 5582020392 is about 74712.9198465700. The cubic root of 5582020392 is about 1773.9054699711.

The spelling of 5582020392 in words is "five billion, five hundred eighty-two million, twenty thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 37 39 52 54 72 74 78 81 104 108 111 117 148 156 162 216 222 234 296 312 324 333 351 444 468 481 648 666 702 888 936 962 999 1053 1332 1404 1443 1924 1998 2106 2664 2808 2886 2997 3848 3996 4212 4329 5772 5994 7992 8424 8658 11544 11988 12987 17316 17909 23976 25974 34632 35818 38961 51948 53727 71636 77922 103896 107454 143272 155844 161181 214908 232817 311688 322362 429816 465634 483543 644724 662633 698451 931268 967086 1289448 1325266 1396902 1450629 1862536 1934172 1987899 2095353 2650532 2793804 2901258 3868344 3975798 4190706 5301064 5587608 5802516 5963697 6286059 7951596 8381412 8614229 11605032 11927394 12572118 15903192 16762824 17228458 17891091 18858177 23854788 25144236 25842687 34456916 35782182 37716354 47709576 50288472 51685374 53673273 68913832 71564364 75432708 77528061 103370748 107346546 143128728 150865416 155056122 206741496 214693092 232584183 310112244 429386184 465168366 620224488 697752549 930336732 1395505098 1860673464 2791010196 5582020392