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5825403920 = 245719353899
BaseRepresentation
bin1010110110011100…
…01001110000010000
3120000222112011212202
411123032021300100
543412300411140
62402014342332
7264234054620
oct53316116020
916028464782
105825403920
11251a31a206
121166aba9a8
1371ab6778b
143d3960880
1524164a915
hex15b389c10

5825403920 has 80 divisors (see below), whose sum is σ = 15559420800. Its totient is φ = 1986895872.

The previous prime is 5825403919. The next prime is 5825403929. The reversal of 5825403920 is 293045285.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (5825403929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81131 + ... + 135029.

It is an arithmetic number, because the mean of its divisors is an integer number (194492760).

Almost surely, 25825403920 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 5825403920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7779710400).

5825403920 is an abundant number, since it is smaller than the sum of its proper divisors (9734016880).

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

5825403920 is a wasteful number, since it uses less digits than its factorization.

5825403920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54112 (or 54106 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 38.

The square root of 5825403920 is about 76324.3337343995. Note that the first 3 decimals coincide. The cubic root of 5825403920 is about 1799.3211349466.

The spelling of 5825403920 in words is "five billion, eight hundred twenty-five million, four hundred three thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 193 280 386 560 772 965 1351 1544 1930 2702 3088 3860 5404 6755 7720 10808 13510 15440 21616 27020 53899 54040 107798 108080 215596 269495 377293 431192 538990 754586 862384 1077980 1509172 1886465 2155960 3018344 3772930 4311920 6036688 7545860 10402507 15091720 20805014 30183440 41610028 52012535 72817549 83220056 104025070 145635098 166440112 208050140 291270196 364087745 416100280 582540392 728175490 832200560 1165080784 1456350980 2912701960 5825403920