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476785980 = 223351127297
BaseRepresentation
bin11100011010110…
…010110100111100
31020020011020102000
4130122302310330
51434024122410
6115151102300
714546420406
oct3432626474
91206136360
10476785980
11225151400
12113811990
1377a17aa8
1447471b76
152bccedc0
hex1c6b2d3c

476785980 has 144 divisors (see below), whose sum is σ = 1630665120. Its totient is φ = 115568640.

The previous prime is 476785957. The next prime is 476786053. The reversal of 476785980 is 89587674.

476785980 is a `hidden beast` number, since 47 + 6 + 7 + 8 + 598 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61692 + ... + 68988.

Almost surely, 2476785980 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 476785980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815332560).

476785980 is an abundant number, since it is smaller than the sum of its proper divisors (1153879140).

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

476785980 is a wasteful number, since it uses less digits than its factorization.

476785980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7337 (or 7318 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 476785980 is about 21835.4294668092. The cubic root of 476785980 is about 781.2220488773. Note that the first 3 decimals are identical.

The spelling of 476785980 in words is "four hundred seventy-six million, seven hundred eighty-five thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 121 132 135 165 180 198 220 242 270 297 330 363 396 484 495 540 594 605 660 726 990 1089 1188 1210 1452 1485 1815 1980 2178 2420 2970 3267 3630 4356 5445 5940 6534 7260 7297 10890 13068 14594 16335 21780 21891 29188 32670 36485 43782 65340 65673 72970 80267 87564 109455 131346 145940 160534 197019 218910 240801 262692 321068 328365 394038 401335 437820 481602 656730 722403 788076 802670 882937 963204 985095 1204005 1313460 1444806 1605340 1765874 1970190 2167209 2408010 2648811 2889612 3531748 3612015 3940380 4334418 4414685 4816020 5297622 7224030 7946433 8668836 8829370 10595244 10836045 13244055 14448060 15892866 17658740 21672090 23839299 26488110 31785732 39732165 43344180 47678598 52976220 79464330 95357196 119196495 158928660 238392990 476785980