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485491680 = 25325615527
BaseRepresentation
bin11100111100000…
…000001111100000
31020211112112101100
4130330000033200
51443241213210
6120101434400
715013416432
oct3474001740
91224475340
10485491680
1122a0580a3
1211670ba00
13797754ab
144869a652
152c94e5c0
hex1cf003e0

485491680 has 144 divisors (see below), whose sum is σ = 1684204704. Its totient is φ = 127319040.

The previous prime is 485491649. The next prime is 485491687. The reversal of 485491680 is 86194584.

485491680 is a `hidden beast` number, since 4 + 85 + 491 + 6 + 80 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (485491687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85077 + ... + 90603.

It is an arithmetic number, because the mean of its divisors is an integer number (11695866).

Almost surely, 2485491680 is an apocalyptic number.

485491680 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 485491680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842102352).

485491680 is an abundant number, since it is smaller than the sum of its proper divisors (1198713024).

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

485491680 is a wasteful number, since it uses less digits than its factorization.

485491680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5609 (or 5598 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 485491680 is about 22033.8757371462. The cubic root of 485491680 is about 785.9482125039.

The spelling of 485491680 in words is "four hundred eighty-five million, four hundred ninety-one thousand, six 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 61 72 80 90 96 120 122 144 160 180 183 240 244 288 305 360 366 480 488 549 610 720 732 915 976 1098 1220 1440 1464 1830 1952 2196 2440 2745 2928 3660 4392 4880 5490 5527 5856 7320 8784 9760 10980 11054 14640 16581 17568 21960 22108 27635 29280 33162 43920 44216 49743 55270 66324 82905 87840 88432 99486 110540 132648 165810 176864 198972 221080 248715 265296 331620 337147 397944 442160 497430 530592 663240 674294 795888 884320 994860 1011441 1326480 1348588 1591776 1685735 1989720 2022882 2652960 2697176 3034323 3371470 3979440 4045764 5057205 5394352 6068646 6742940 7958880 8091528 10114410 10788704 12137292 13485880 15171615 16183056 20228820 24274584 26971760 30343230 32366112 40457640 48549168 53943520 60686460 80915280 97098336 121372920 161830560 242745840 485491680