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5260455840 = 253515117253
BaseRepresentation
bin1001110011000110…
…00010111110100000
3111120121110211210210
410321203002332200
541233134041330
62225553454120
7244234064643
oct47143027640
914517424723
105260455840
11225a432372
121029871340
1365aac2483
1437c8dda5a
1520bc538b0
hex1398c2fa0

5260455840 has 96 divisors (see below), whose sum is σ = 16583688576. Its totient is φ = 1401666560.

The previous prime is 5260455829. The next prime is 5260455857. The reversal of 5260455840 is 485540625.

It is a Cunningham number, because it is equal to 725292-1.

It is a tau number, because it is divible by the number of its divisors (96).

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, 721654 + ... + 728906.

It is an arithmetic number, because the mean of its divisors is an integer number (172746756).

Almost surely, 25260455840 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 5260455840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8291844288).

5260455840 is an abundant number, since it is smaller than the sum of its proper divisors (11323232736).

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

5260455840 is a wasteful number, since it uses less digits than its factorization.

5260455840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8782 (or 8774 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 39.

The square root of 5260455840 is about 72528.9999931062. Note that the first 5 decimals coincide. The cubic root of 5260455840 is about 1739.1663598130.

The spelling of 5260455840 in words is "five billion, two hundred sixty million, four hundred fifty-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1511 3022 4533 6044 7253 7555 9066 12088 14506 15110 18132 21759 22665 24176 29012 30220 36264 36265 43518 45330 48352 58024 60440 72528 72530 87036 90660 108795 116048 120880 145056 145060 174072 181320 217590 232096 241760 290120 348144 362640 435180 580240 696288 725280 870360 1160480 1740720 3481440 10959283 21918566 32877849 43837132 54796415 65755698 87674264 109592830 131511396 164389245 175348528 219185660 263022792 328778490 350697056 438371320 526045584 657556980 876742640 1052091168 1315113960 1753485280 2630227920 5260455840