Search a number
-
+
487660080 = 243519229467
BaseRepresentation
bin11101000100010…
…001101000110000
31020222121200212110
4131010101220300
51444320110310
6120220125320
715041020335
oct3504215060
91228550773
10487660080
112302a9266
12117396840
137a05447b
1448aa298c
152cc2bd20
hex1d111a30

487660080 has 160 divisors (see below), whose sum is σ = 1601683200. Its totient is φ = 122397696.

The previous prime is 487660067. The next prime is 487660133. The reversal of 487660080 is 80066784.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1044007 + ... + 1044473.

It is an arithmetic number, because the mean of its divisors is an integer number (10010520).

Almost surely, 2487660080 is an apocalyptic number.

487660080 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 487660080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800841600).

487660080 is an abundant number, since it is smaller than the sum of its proper divisors (1114023120).

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

487660080 is a wasteful number, since it uses less digits than its factorization.

487660080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 487660080 is about 22083.0269664283. The cubic root of 487660080 is about 787.1165944170.

The spelling of 487660080 in words is "four hundred eighty-seven million, six hundred sixty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 229 240 285 304 380 456 458 467 570 687 760 912 916 934 1140 1145 1374 1401 1520 1832 1868 2280 2290 2335 2748 2802 3435 3664 3736 4351 4560 4580 4670 5496 5604 6870 7005 7472 8702 8873 9160 9340 10992 11208 13053 13740 14010 17404 17746 18320 18680 21755 22416 26106 26619 27480 28020 34808 35492 37360 43510 44365 52212 53238 54960 56040 65265 69616 70984 87020 88730 104424 106476 106943 112080 130530 133095 141968 174040 177460 208848 212952 213886 261060 266190 320829 348080 354920 425904 427772 522120 532380 534715 641658 709840 855544 1044240 1064760 1069430 1283316 1604145 1711088 2031917 2129520 2138860 2566632 3208290 4063834 4277720 5133264 6095751 6416580 8127668 8555440 10159585 12191502 12833160 16255336 20319170 24383004 25666320 30478755 32510672 40638340 48766008 60957510 81276680 97532016 121915020 162553360 243830040 487660080