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5430393472 = 277231012609
BaseRepresentation
bin1010000111010110…
…10011101010000000
3112000110020120102011
411003223103222000
542110140042342
62254504102304
7251366403640
oct50353235200
915013216364
105430393472
112337351a99
121076764994
1368708229a
143972d8520
1521bb20717
hex143ad3a80

5430393472 has 128 divisors (see below), whose sum is σ = 13034131200. Its totient is φ = 2203238400.

The previous prime is 5430393469. The next prime is 5430393497. The reversal of 5430393472 is 2743930345.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2080104 + ... + 2082712.

It is an arithmetic number, because the mean of its divisors is an integer number (101829150).

Almost surely, 25430393472 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 5430393472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6517065600).

5430393472 is an abundant number, since it is smaller than the sum of its proper divisors (7603737728).

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

5430393472 is a wasteful number, since it uses less digits than its factorization.

5430393472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2754 (or 2742 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 40.

The square root of 5430393472 is about 73691.2034913259. The cubic root of 5430393472 is about 1757.6960072282.

The spelling of 5430393472 in words is "five billion, four hundred thirty million, three hundred ninety-three thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 101 112 128 161 184 202 224 322 368 404 448 644 707 736 808 896 1288 1414 1472 1616 2323 2576 2609 2828 2944 3232 4646 5152 5218 5656 6464 9292 10304 10436 11312 12928 16261 18263 18584 20608 20872 22624 32522 36526 37168 41744 45248 60007 65044 73052 74336 83488 90496 120014 130088 146104 148672 166976 240028 260176 263509 292208 297344 333952 420049 480056 520352 527018 584416 840098 960112 1040704 1054036 1168832 1680196 1844563 1920224 2081408 2108072 2337664 3360392 3689126 3840448 4216144 6060707 6720784 7378252 7680896 8432288 12121414 13441568 14756504 16864576 24242828 26883136 29513008 33729152 42424949 48485656 53766272 59026016 84849898 96971312 118052032 169699796 193942624 236104064 339399592 387885248 678799184 775770496 1357598368 2715196736 5430393472