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5825386056 = 2337177925819
BaseRepresentation
bin1010110110011100…
…00101011001001000
3120000222111021101010
411123032011121020
543412244323211
62402014123520
7264233651550
oct53316053110
916028437333
105825386056
11251a307846
121166ab05a0
1371ab5c5c9
143d3958160
152416454a6
hex15b385648

5825386056 has 128 divisors (see below), whose sum is σ = 17846784000. Its totient is φ = 1546601472.

The previous prime is 5825386033. The next prime is 5825386117. The reversal of 5825386056 is 6506835285.

It is a junction number, because it is equal to n+sod(n) for n = 5825385996 and 5825386014.

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, 212715 + ... + 238533.

It is an arithmetic number, because the mean of its divisors is an integer number (139428000).

Almost surely, 25825386056 is an apocalyptic number.

5825386056 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5825386056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8923392000).

5825386056 is an abundant number, since it is smaller than the sum of its proper divisors (12021397944).

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

5825386056 is a wasteful number, since it uses less digits than its factorization.

5825386056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25931 (or 25927 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 48.

The square root of 5825386056 is about 76324.2167074121. The cubic root of 5825386056 is about 1799.3192956976.

The spelling of 5825386056 in words is "five billion, eight hundred twenty-five million, three hundred eighty-six thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 79 84 102 119 136 158 168 204 237 238 316 357 408 474 476 553 632 714 948 952 1106 1343 1428 1659 1896 2212 2686 2856 3318 4029 4424 5372 6636 8058 9401 10744 13272 16116 18802 25819 28203 32232 37604 51638 56406 75208 77457 103276 112812 154914 180733 206552 225624 309828 361466 438923 542199 619656 722932 877846 1084398 1316769 1445864 1755692 2039701 2168796 2633538 3072461 3511384 4079402 4337592 5267076 6119103 6144922 8158804 9217383 10534152 12238206 12289844 14277907 16317608 18434766 24476412 24579688 28555814 34674917 36869532 42833721 48952824 57111628 69349834 73739064 85667442 104024751 114223256 138699668 171334884 208049502 242724419 277399336 342669768 416099004 485448838 728173257 832198008 970897676 1456346514 1941795352 2912693028 5825386056