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487694880 = 253251492273
BaseRepresentation
bin11101000100011…
…010001000100000
31020222200110121100
4131010122020200
51444322214010
6120220554400
715041223651
oct3504321040
91228613540
10487694880
11230322422
121173b2a00
137a06726a
1448ab1528
152cc372c0
hex1d11a220

487694880 has 144 divisors (see below), whose sum is σ = 1676165400. Its totient is φ = 129122304.

The previous prime is 487694849. The next prime is 487694899. The reversal of 487694880 is 88496784.

It can be written as a sum of positive squares in 4 ways, for example, as 392515344 + 95179536 = 19812^2 + 9756^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 213424 + ... + 215696.

Almost surely, 2487694880 is an apocalyptic number.

487694880 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 487694880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838082700).

487694880 is an abundant number, since it is smaller than the sum of its proper divisors (1188470520).

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

487694880 is a wasteful number, since it uses less digits than its factorization.

487694880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2443 (or 2432 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 487694880 is about 22083.8148878313. The cubic root of 487694880 is about 787.1353171620.

The spelling of 487694880 in words is "four hundred eighty-seven million, six hundred ninety-four thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 149 160 180 240 288 298 360 447 480 596 720 745 894 1192 1341 1440 1490 1788 2235 2273 2384 2682 2980 3576 4470 4546 4768 5364 5960 6705 6819 7152 8940 9092 10728 11365 11920 13410 13638 14304 17880 18184 20457 21456 22730 23840 26820 27276 34095 35760 36368 40914 42912 45460 53640 54552 68190 71520 72736 81828 90920 102285 107280 109104 136380 163656 181840 204570 214560 218208 272760 327312 338677 363680 409140 545520 654624 677354 818280 1016031 1091040 1354708 1636560 1693385 2032062 2709416 3048093 3273120 3386770 4064124 5080155 5418832 6096186 6773540 8128248 10160310 10837664 12192372 13547080 15240465 16256496 20320620 24384744 27094160 30480930 32512992 40641240 48769488 54188320 60961860 81282480 97538976 121923720 162564960 243847440 487694880