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486136840 = 23572972557
BaseRepresentation
bin11100111110011…
…101110000001000
31020212202022101011
4130332131300020
51443422334330
6120123333304
715022044400
oct3476356010
91225668334
10486136840
1122a458892
12116981234
1379940047
14487c7800
152ca2a82a
hex1cf9dc08

486136840 has 96 divisors (see below), whose sum is σ = 1286008920. Its totient is φ = 164892672.

The previous prime is 486136837. The next prime is 486136843. The reversal of 486136840 is 48631684.

It is an interprime number because it is at equal distance from previous prime (486136837) and next prime (486136843).

It can be written as a sum of positive squares in 4 ways, for example, as 364122724 + 122014116 = 19082^2 + 11046^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 486136793 and 486136802.

It is not an unprimeable number, because it can be changed into a prime (486136843) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 188842 + ... + 191398.

Almost surely, 2486136840 is an apocalyptic number.

486136840 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 486136840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643004460).

486136840 is an abundant number, since it is smaller than the sum of its proper divisors (799872080).

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

486136840 is a wasteful number, since it uses less digits than its factorization.

486136840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2679 (or 2668 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The square root of 486136840 is about 22048.5110608404. The cubic root of 486136840 is about 786.2962019251.

The spelling of 486136840 in words is "four hundred eighty-six million, one hundred thirty-six thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 97 98 140 194 196 245 280 388 392 485 490 679 776 970 980 1358 1940 1960 2557 2716 3395 3880 4753 5114 5432 6790 9506 10228 12785 13580 17899 19012 20456 23765 25570 27160 35798 38024 47530 51140 71596 89495 95060 102280 125293 143192 178990 190120 248029 250586 357980 496058 501172 626465 715960 992116 1002344 1240145 1252930 1736203 1984232 2480290 2505860 3472406 4960580 5011720 6944812 8681015 9921160 12153421 13889624 17362030 24306842 34724060 48613684 60767105 69448120 97227368 121534210 243068420 486136840