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4859374000 = 245313316029
BaseRepresentation
bin1001000011010010…
…00010100110110000
3110112122202202221211
410201221002212300
534422444432000
62122105125504
7231263666065
oct44151024660
913478682854
104859374000
112073a98678
12b37489894
135c5992640
14341536c6c
151d69297ba
hex121a429b0

4859374000 has 160 divisors (see below), whose sum is σ = 13064163840. Its totient is φ = 1736064000.

The previous prime is 4859373979. The next prime is 4859374001. The reversal of 4859374000 is 4739584.

It is a super-2 number, since 2×48593740002 = 47227031343752000000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4859374001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 802986 + ... + 809014.

It is an arithmetic number, because the mean of its divisors is an integer number (81651024).

Almost surely, 24859374000 is an apocalyptic number.

4859374000 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 4859374000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6532081920).

4859374000 is an abundant number, since it is smaller than the sum of its proper divisors (8204789840).

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

4859374000 is a wasteful number, since it uses less digits than its factorization.

4859374000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6096 (or 6080 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The square root of 4859374000 is about 69709.2102953405. The cubic root of 4859374000 is about 1693.7921218811.

The spelling of 4859374000 in words is "four billion, eight hundred fifty-nine million, three hundred seventy-four thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 31 40 50 52 62 65 80 100 104 124 125 130 155 200 208 248 250 260 310 325 400 403 496 500 520 620 650 775 806 1000 1040 1240 1300 1550 1612 1625 2000 2015 2480 2600 3100 3224 3250 3875 4030 5200 6029 6200 6448 6500 7750 8060 10075 12058 12400 13000 15500 16120 20150 24116 26000 30145 31000 32240 40300 48232 50375 60290 62000 78377 80600 96464 100750 120580 150725 156754 161200 186899 201500 241160 301450 313508 373798 391885 403000 482320 602900 627016 747596 753625 783770 806000 934495 1205800 1254032 1495192 1507250 1567540 1868990 1959425 2411600 2429687 2990384 3014500 3135080 3737980 3918850 4672475 4859374 6029000 6270160 7475960 7837700 9344950 9718748 9797125 12058000 12148435 14951920 15675400 18689900 19437496 19594250 23362375 24296870 31350800 37379800 38874992 39188500 46724750 48593740 60742175 74759600 78377000 93449500 97187480 121484350 156754000 186899000 194374960 242968700 303710875 373798000 485937400 607421750 971874800 1214843500 2429687000 4859374000