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5285042680 = 235414317477
BaseRepresentation
bin1001110110000001…
…10101100111111000
3111122022201222121111
410323000311213320
541310432331210
62232232450104
7244653056461
oct47300654770
914568658544
105285042680
1122722a5875
121035b49934
13662c205b8
14381c9dd68
1520dead88a
hex13b0359f8

5285042680 has 64 divisors (see below), whose sum is σ = 12211274880. Its totient is φ = 2057395200.

The previous prime is 5285042617. The next prime is 5285042687. The reversal of 5285042680 is 862405825.

It is a super-2 number, since 2×52850426802 = 55863352258843164800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5285042687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 703102 + ... + 710578.

It is an arithmetic number, because the mean of its divisors is an integer number (190801170).

Almost surely, 25285042680 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 5285042680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6105637440).

5285042680 is an abundant number, since it is smaller than the sum of its proper divisors (6926232200).

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

5285042680 is a wasteful number, since it uses less digits than its factorization.

5285042680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7960 (or 7956 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 40.

The square root of 5285042680 is about 72698.2990172397. The cubic root of 5285042680 is about 1741.8717120476.

The spelling of 5285042680 in words is "five billion, two hundred eighty-five million, forty-two thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 431 820 862 1640 1724 2155 3448 4310 7477 8620 14954 17240 17671 29908 35342 37385 59816 70684 74770 88355 141368 149540 176710 299080 306557 353420 613114 706840 1226228 1532785 2452456 3065570 3222587 6131140 6445174 12262280 12890348 16112935 25780696 32225870 64451740 128903480 132126067 264252134 528504268 660630335 1057008536 1321260670 2642521340 5285042680