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5428596420 = 22325132979997
BaseRepresentation
bin1010000111001000…
…11100111011000100
3112000022212021022200
411003210130323010
542104210041140
62254401354500
7251345210502
oct50344347304
915008767280
105428596420
112336334925
121076038a30
136868a3340
14396d8b672
1521b8b8030
hex14391cec4

5428596420 has 144 divisors (see below), whose sum is σ = 18345141360. Its totient is φ = 1290175488.

The previous prime is 5428596359. The next prime is 5428596443. The reversal of 5428596420 is 246958245.

5428596420 is a `hidden beast` number, since 54 + 2 + 8 + 596 + 4 + 2 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1196053056 + 4232543364 = 34584^2 + 65058^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27862 + ... + 107858.

It is an arithmetic number, because the mean of its divisors is an integer number (127396815).

Almost surely, 25428596420 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 5428596420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9172570680).

5428596420 is an abundant number, since it is smaller than the sum of its proper divisors (12916544940).

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

5428596420 is a wasteful number, since it uses less digits than its factorization.

5428596420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80054 (or 80049 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 5428596420 is about 73679.0093581612. The cubic root of 5428596420 is about 1757.5020974232.

The spelling of 5428596420 in words is "five billion, four hundred twenty-eight million, five hundred ninety-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 29 30 36 39 45 52 58 60 65 78 87 90 116 117 130 145 156 174 180 195 234 260 261 290 348 377 390 435 468 522 580 585 754 780 870 1044 1131 1170 1305 1508 1740 1885 2262 2340 2610 3393 3770 4524 5220 5655 6786 7540 11310 13572 16965 22620 33930 67860 79997 159994 239991 319988 399985 479982 719973 799970 959964 1039961 1199955 1439946 1599940 2079922 2319913 2399910 2879892 3119883 3599865 4159844 4639826 4799820 5199805 6239766 6959739 7199730 9279652 9359649 10399610 11599565 12479532 13919478 14399460 15599415 18719298 20799220 20879217 23199130 27838956 30158869 31198830 34798695 37438596 41758434 46398260 46798245 60317738 62397660 69597390 83516868 90476607 93596490 104396085 120635476 139194780 150794345 180953214 187192980 208792170 271429821 301588690 361906428 417584340 452383035 542859642 603177380 904766070 1085719284 1357149105 1809532140 2714298210 5428596420