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5266456440 = 2335718893319
BaseRepresentation
bin1001110011110011…
…11011111101111000
3111121000202201002020
410321321323331320
541241203101230
62230330234440
7244336066260
oct47171737570
914530681066
105266456440
112262860743
12102b885a20
1365c11381b
1437d6227a0
1520c53b810
hex139e7bf78

5266456440 has 128 divisors (see below), whose sum is σ = 18071424000. Its totient is φ = 1202761728.

The previous prime is 5266456397. The next prime is 5266456451. The reversal of 5266456440 is 446546625.

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 = 5266456392 and 5266456401.

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, 1585101 + ... + 1588419.

It is an arithmetic number, because the mean of its divisors is an integer number (141183000).

Almost surely, 25266456440 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 5266456440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9035712000).

5266456440 is an abundant number, since it is smaller than the sum of its proper divisors (12804967560).

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

5266456440 is a wasteful number, since it uses less digits than its factorization.

5266456440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5229 (or 5225 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

The square root of 5266456440 is about 72570.3551045466. The cubic root of 5266456440 is about 1739.8273973326.

The spelling of 5266456440 in words is "five billion, two hundred sixty-six million, four hundred fifty-six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 1889 3319 3778 5667 6638 7556 9445 9957 11334 13223 13276 15112 16595 18890 19914 22668 23233 26446 26552 28335 33190 37780 39669 39828 45336 46466 49785 52892 56670 66115 66380 69699 75560 79338 79656 92932 99570 105784 113340 116165 132230 132760 139398 158676 185864 198345 199140 226680 232330 264460 278796 317352 348495 396690 398280 464660 528920 557592 696990 793380 929320 1393980 1586760 2787960 6269591 12539182 18808773 25078364 31347955 37617546 43887137 50156728 62695910 75235092 87774274 94043865 125391820 131661411 150470184 175548548 188087730 219435685 250783640 263322822 351097096 376175460 438871370 526645644 658307055 752350920 877742740 1053291288 1316614110 1755485480 2633228220 5266456440