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486300640 = 25571725541
BaseRepresentation
bin11100111111000…
…101101111100000
31020220001122001211
4130333011233200
51443443110030
6120131035504
715023326060
oct3477055740
91226048054
10486300640
1122a55a961
12116a3bb94
1379999777
144882b3a0
152ca5e12a
hex1cfc5be0

486300640 has 96 divisors (see below), whose sum is σ = 1390302144. Its totient is φ = 156917760.

The previous prime is 486300629. The next prime is 486300671. The reversal of 486300640 is 46003684.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6270 + ... + 31810.

It is an arithmetic number, because the mean of its divisors is an integer number (14482314).

Almost surely, 2486300640 is an apocalyptic number.

486300640 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 486300640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695151072).

486300640 is an abundant number, since it is smaller than the sum of its proper divisors (904001504).

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

486300640 is a wasteful number, since it uses less digits than its factorization.

486300640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25580 (or 25572 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 486300640 is about 22052.2252845376. The cubic root of 486300640 is about 786.3845041235.

The spelling of 486300640 in words is "four hundred eighty-six million, three hundred thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 32 34 35 40 56 68 70 80 85 112 119 136 140 160 170 224 238 272 280 340 476 544 560 595 680 952 1120 1190 1360 1904 2380 2720 3808 4760 9520 19040 25541 51082 102164 127705 178787 204328 255410 357574 408656 434197 510820 715148 817312 868394 893935 1021640 1430296 1736788 1787870 2043280 2170985 2860592 3039379 3473576 3575740 4086560 4341970 5721184 6078758 6947152 7151480 8683940 12157516 13894304 14302960 15196895 17367880 24315032 28605920 30393790 34735760 48630064 60787580 69471520 97260128 121575160 243150320 486300640