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488650500 = 223253138353
BaseRepresentation
bin11101001000000…
…011011100000100
31021001111000110200
4131020003130010
52000043304000
6120253250500
715052314012
oct3510033404
91231430420
10488650500
11230915398
12117793a30
137a310210
1448c7d8b2
152cd75500
hex1d203704

488650500 has 144 divisors (see below), whose sum is σ = 1660307376. Its totient is φ = 120268800.

The previous prime is 488650483. The next prime is 488650501. The reversal of 488650500 is 5056884.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 212226624 + 276423876 = 14568^2 + 16626^2 .

It is a super-2 number, since 2×4886505002 = 477558622300500000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (488650501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54324 + ... + 62676.

Almost surely, 2488650500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 488650500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830153688).

488650500 is an abundant number, since it is smaller than the sum of its proper divisors (1171656876).

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

488650500 is a wasteful number, since it uses less digits than its factorization.

488650500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8391 (or 8376 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 488650500 is about 22105.4405068074. The cubic root of 488650500 is about 787.6491025311.

The spelling of 488650500 in words is "four hundred eighty-eight million, six hundred fifty thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 25 26 30 36 39 45 50 52 60 65 75 78 90 100 117 125 130 150 156 180 195 225 234 250 260 300 325 375 390 450 468 500 585 650 750 780 900 975 1125 1170 1300 1500 1625 1950 2250 2340 2925 3250 3900 4500 4875 5850 6500 8353 9750 11700 14625 16706 19500 25059 29250 33412 41765 50118 58500 75177 83530 100236 108589 125295 150354 167060 208825 217178 250590 300708 325767 375885 417650 434356 501180 542945 626475 651534 751770 835300 977301 1044125 1085890 1252950 1303068 1503540 1628835 1879425 1954602 2088250 2171780 2505900 2714725 3132375 3257670 3758850 3909204 4176500 4886505 5429450 6264750 6515340 7517700 8144175 9397125 9773010 10858900 12529500 13573625 16288350 18794250 19546020 24432525 27147250 32576700 37588500 40720875 48865050 54294500 81441750 97730100 122162625 162883500 244325250 488650500