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5446793040 = 2435135332939
BaseRepresentation
bin1010001001010011…
…10111011101010000
3112001121002202101120
411010221313131100
542123334334130
62300251402240
7251655656043
oct50451673520
915047082346
105446793040
112345633257
121080153380
1368a5a4980
14399566c5a
1521d2ae910
hex144a77750

5446793040 has 160 divisors (see below), whose sum is σ = 18527564160. Its totient is φ = 1315411968.

The previous prime is 5446793039. The next prime is 5446793071. The reversal of 5446793040 is 403976445.

It is a junction number, because it is equal to n+sod(n) for n = 5446792983 and 5446793001.

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, 148891 + ... + 181829.

It is an arithmetic number, because the mean of its divisors is an integer number (115797276).

Almost surely, 25446793040 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 5446793040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9263782080).

5446793040 is an abundant number, since it is smaller than the sum of its proper divisors (13080771120).

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

5446793040 is a wasteful number, since it uses less digits than its factorization.

5446793040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33021 (or 33015 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The square root of 5446793040 is about 73802.3918311595. The cubic root of 5446793040 is about 1759.4636192618.

The spelling of 5446793040 in words is "five billion, four hundred forty-six million, seven hundred ninety-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 53 60 65 78 80 104 106 120 130 156 159 195 208 212 240 260 265 312 318 390 424 520 530 624 636 689 780 795 848 1040 1060 1272 1378 1560 1590 2067 2120 2544 2756 3120 3180 3445 4134 4240 5512 6360 6890 8268 10335 11024 12720 13780 16536 20670 27560 32939 33072 41340 55120 65878 82680 98817 131756 164695 165360 197634 263512 329390 395268 428207 494085 527024 658780 790536 856414 988170 1284621 1317560 1581072 1712828 1745767 1976340 2141035 2569242 2635120 3425656 3491534 3952680 4282070 5138484 5237301 6423105 6851312 6983068 7905360 8564140 8728835 10276968 10474602 12846210 13966136 17128280 17457670 20553936 20949204 22694971 25692420 26186505 27932272 34256560 34915340 41898408 45389942 51384840 52373010 68084913 69830680 83796816 90779884 102769680 104746020 113474855 136169826 139661360 181559768 209492040 226949710 272339652 340424565 363119536 418984080 453899420 544679304 680849130 907798840 1089358608 1361698260 1815597680 2723396520 5446793040