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486434640 = 24353165381
BaseRepresentation
bin11100111111100…
…110011101010000
31020220022102212210
4130333212131100
51444011402030
6120133552120
715024424536
oct3477463520
91226272783
10486434640
1122a6415aa
12116aa5640
1379a15763
1448864156
152ca88bb0
hex1cfe6750

486434640 has 80 divisors (see below), whose sum is σ = 1556614656. Its totient is φ = 125529600.

The previous prime is 486434639. The next prime is 486434677. The reversal of 486434640 is 46434684.

It is a tau number, because it is divible by the number of its divisors (80).

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, 25251 + ... + 40130.

Almost surely, 2486434640 is an apocalyptic number.

486434640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

486434640 is an abundant number, since it is smaller than the sum of its proper divisors (1070180016).

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

486434640 is a wasteful number, since it uses less digits than its factorization.

486434640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65428 (or 65422 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 39.

The square root of 486434640 is about 22055.2633174034. The cubic root of 486434640 is about 786.4567268307.

The spelling of 486434640 in words is "four hundred eighty-six million, four hundred thirty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 1240 1488 1860 2480 3720 7440 65381 130762 196143 261524 326905 392286 523048 653810 784572 980715 1046096 1307620 1569144 1961430 2026811 2615240 3138288 3922860 4053622 5230480 6080433 7845720 8107244 10134055 12160866 15691440 16214488 20268110 24321732 30402165 32428976 40536220 48643464 60804330 81072440 97286928 121608660 162144880 243217320 486434640