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4849659960 = 23351391671741
BaseRepresentation
bin1001000010000111…
…11111000000111000
3110111222111020210120
410201003333000320
534413003104320
62121121013240
7231115300215
oct44103770070
913458436716
104849659960
112069563342
12b34184220
135c3970ca2
14340128b0c
151d5b5b440
hex1210ff038

4849659960 has 128 divisors (see below), whose sum is σ = 14749862400. Its totient is φ = 1275517440.

The previous prime is 4849659943. The next prime is 4849660021. The reversal of 4849659960 is 699569484.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 4849659894 and 4849659903.

It is a congruent number.

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, 2784690 + ... + 2786430.

It is an arithmetic number, because the mean of its divisors is an integer number (115233300).

Almost surely, 24849659960 is an apocalyptic number.

4849659960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is a pronic number, being equal to 69639×69640.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4849659960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7374931200).

4849659960 is an abundant number, since it is smaller than the sum of its proper divisors (9900202440).

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

4849659960 is a wasteful number, since it uses less digits than its factorization.

4849659960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2061 (or 2057 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 60.

The square root of 4849659960 is about 69639.4999982050. The cubic root of 4849659960 is about 1692.6627212391.

The spelling of 4849659960 in words is "four billion, eight hundred forty-nine million, six hundred fifty-nine thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 139 167 278 334 417 501 556 668 695 834 835 1002 1112 1336 1390 1668 1670 1741 2004 2085 2505 2780 3336 3340 3482 4008 4170 5010 5223 5560 6680 6964 8340 8705 10020 10446 13928 16680 17410 20040 20892 23213 26115 34820 41784 46426 52230 69639 69640 92852 104460 116065 139278 185704 208920 232130 241999 278556 290747 348195 464260 483998 557112 581494 696390 725997 872241 928520 967996 1162988 1209995 1392780 1451994 1453735 1744482 1935992 2325976 2419990 2785560 2903988 2907470 3488964 3629985 4361205 4839980 5807976 5814940 6977928 7259970 8722410 9679960 11629880 14519940 17444820 29039880 34889640 40413833 80827666 121241499 161655332 202069165 242482998 323310664 404138330 484965996 606207495 808276660 969931992 1212414990 1616553320 2424829980 4849659960