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487246320 = 243351120507
BaseRepresentation
bin11101000010101…
…100100111110000
31020221211200022000
4131002230213300
51444213340240
6120203214000
715034345131
oct3502544760
91227750260
10487246320
11230046410
12117217300
1379c3b042
14489d5c88
152cb99430
hex1d0ac9f0

487246320 has 160 divisors (see below), whose sum is σ = 1830954240. Its totient is φ = 118114560.

The previous prime is 487246307. The next prime is 487246327. The reversal of 487246320 is 23642784.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (487246327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13507 + ... + 34013.

It is an arithmetic number, because the mean of its divisors is an integer number (11443464).

Almost surely, 2487246320 is an apocalyptic number.

487246320 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 487246320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915477120).

487246320 is an abundant number, since it is smaller than the sum of its proper divisors (1343707920).

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

487246320 is a wasteful number, since it uses less digits than its factorization.

487246320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20540 (or 20528 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 487246320 is about 22073.6566975207. The cubic root of 487246320 is about 786.8939191513.

The spelling of 487246320 in words is "four hundred eighty-seven million, two hundred forty-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 33 36 40 44 45 48 54 55 60 66 72 80 88 90 99 108 110 120 132 135 144 165 176 180 198 216 220 240 264 270 297 330 360 396 432 440 495 528 540 594 660 720 792 880 990 1080 1188 1320 1485 1584 1980 2160 2376 2640 2970 3960 4752 5940 7920 11880 20507 23760 41014 61521 82028 102535 123042 164056 184563 205070 225577 246084 307605 328112 369126 410140 451154 492168 553689 615210 676731 738252 820280 902308 922815 984336 1107378 1127885 1230420 1353462 1476504 1640560 1804616 1845630 2030193 2214756 2255770 2460840 2706924 2768445 2953008 3383655 3609232 3691260 4060386 4429512 4511540 4921680 5413848 5536890 6090579 6767310 7382520 8120772 8859024 9023080 10150965 10827696 11073780 12181158 13534620 14765040 16241544 18046160 20301930 22147560 24362316 27069240 30452895 32483088 40603860 44295120 48724632 54138480 60905790 81207720 97449264 121811580 162415440 243623160 487246320