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4848293120 = 285111492311
BaseRepresentation
bin1001000001111101…
…10001010100000000
3110111212220210211212
410200332301110000
534412130334440
62121031425252
7231100545236
oct44076612400
913455823755
104848293120
11206880a420
12b33825228
135c35b2ac8
1433dc90956
151d598b465
hex120fb1500

4848293120 has 144 divisors (see below), whose sum is σ = 12759465600. Its totient is φ = 1750425600.

The previous prime is 4848293071. The next prime is 4848293183. The reversal of 4848293120 is 213928484.

It is a congruent number.

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, 2096765 + ... + 2099075.

It is an arithmetic number, because the mean of its divisors is an integer number (88607400).

Almost surely, 24848293120 is an apocalyptic number.

4848293120 is a gapful number since it is divisible by the number (40) 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 4848293120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6379732800).

4848293120 is an abundant number, since it is smaller than the sum of its proper divisors (7911172480).

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

4848293120 is a wasteful number, since it uses less digits than its factorization.

4848293120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2492 (or 2478 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 41.

The square root of 4848293120 is about 69629.6856233029. The cubic root of 4848293120 is about 1692.5036848995.

The spelling of 4848293120 in words is "four billion, eight hundred forty-eight million, two hundred ninety-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 149 160 176 220 256 298 320 352 440 596 640 704 745 880 1192 1280 1408 1490 1639 1760 2311 2384 2816 2980 3278 3520 4622 4768 5960 6556 7040 8195 9244 9536 11555 11920 13112 14080 16390 18488 19072 23110 23840 25421 26224 32780 36976 38144 46220 47680 50842 52448 65560 73952 92440 95360 101684 104896 127105 131120 147904 184880 190720 203368 209792 254210 262240 295808 344339 369760 406736 419584 508420 524480 591616 688678 739520 813472 1016840 1048960 1377356 1479040 1626944 1721695 2033680 2097920 2754712 2958080 3253888 3443390 3787729 4067360 5509424 6507776 6886780 7575458 8134720 11018848 13773560 15150916 16269440 18938645 22037696 27547120 30301832 32538880 37877290 44075392 55094240 60603664 75754580 88150784 110188480 121207328 151509160 220376960 242414656 303018320 440753920 484829312 606036640 969658624 1212073280 2424146560 4848293120