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487931040 = 2534537649
BaseRepresentation
bin11101000101010…
…011110010100000
31021000010110120000
4131011103302200
51444402243130
6120230020000
715043226322
oct3505236240
91230113500
10487931040
112304738a3
121174a7600
137a11a8bc
1448b33612
152cc82260
hex1d153ca0

487931040 has 120 divisors (see below), whose sum is σ = 1722035700. Its totient is φ = 130111488.

The previous prime is 487931033. The next prime is 487931063. The reversal of 487931040 is 40139784.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 465006096 + 22924944 = 21564^2 + 4788^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 487930986 and 487931004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5865 + ... + 31784.

Almost surely, 2487931040 is an apocalyptic number.

487931040 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 487931040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861017850).

487931040 is an abundant number, since it is smaller than the sum of its proper divisors (1234104660).

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

487931040 is a wasteful number, since it uses less digits than its factorization.

487931040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37676 (or 37659 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 487931040 is about 22089.1611429678. The cubic root of 487931040 is about 787.2623500585.

The spelling of 487931040 in words is "four hundred eighty-seven million, nine hundred thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 270 288 324 360 405 432 480 540 648 720 810 864 1080 1296 1440 1620 2160 2592 3240 4320 6480 12960 37649 75298 112947 150596 188245 225894 301192 338841 376490 451788 564735 602384 677682 752980 903576 1016523 1129470 1204768 1355364 1505960 1694205 1807152 2033046 2258940 2710728 3011920 3049569 3388410 3614304 4066092 4517880 5082615 5421456 6023840 6099138 6776820 8132184 9035760 10165230 10842912 12198276 13553640 15247845 16264368 18071520 20330460 24396552 27107280 30495690 32528736 40660920 48793104 54214560 60991380 81321840 97586208 121982760 162643680 243965520 487931040