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5830275440 = 2451141283571
BaseRepresentation
bin1010110111000001…
…01111000101110000
3120001022200200100102
411123200233011300
543420022303230
62402311011532
7264323344403
oct53340570560
916038620312
105830275440
112522047260
121168669ba8
1371bb81c32
143d446bd3a
15241cae045
hex15b82f170

5830275440 has 160 divisors (see below), whose sum is σ = 15228525312. Its totient is φ = 2057472000.

The previous prime is 5830275421. The next prime is 5830275467. The reversal of 5830275440 is 445720385.

It is a happy number.

It is a super-2 number, since 2×58302754402 = 67984223412534387200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5830275394 and 5830275403.

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, 10210355 + ... + 10210925.

Almost surely, 25830275440 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 5830275440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7614262656).

5830275440 is an abundant number, since it is smaller than the sum of its proper divisors (9398249872).

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

5830275440 is a wasteful number, since it uses less digits than its factorization.

5830275440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 38.

The square root of 5830275440 is about 76356.2403474660. The cubic root of 5830275440 is about 1799.8225586404.

The spelling of 5830275440 in words is "five billion, eight hundred thirty million, two hundred seventy-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 41 44 55 80 82 88 110 164 176 205 220 283 328 410 440 451 566 571 656 820 880 902 1132 1142 1415 1640 1804 2255 2264 2284 2830 2855 3113 3280 3608 4510 4528 4568 5660 5710 6226 6281 7216 9020 9136 11320 11420 11603 12452 12562 15565 18040 22640 22840 23206 23411 24904 25124 31130 31405 36080 45680 46412 46822 49808 50248 58015 62260 62810 92824 93644 100496 116030 117055 124520 125620 127633 161593 185648 187288 232060 234110 249040 251240 255266 257521 323186 374576 464120 468220 502480 510532 515042 638165 646372 807965 928240 936440 1021064 1030084 1276330 1287605 1292744 1615930 1777523 1872880 2042128 2060168 2552660 2575210 2585488 3231860 3555046 4120336 5105320 5150420 6463720 6625313 7110092 8887615 10210640 10300840 12927440 13250626 14220184 17775230 20601680 26501252 28440368 33126565 35550460 53002504 66253130 71100920 72878443 106005008 132506260 142201840 145756886 265012520 291513772 364392215 530025040 583027544 728784430 1166055088 1457568860 2915137720 5830275440