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470108016 = 24337831873
BaseRepresentation
bin11100000001010…
…100011101110000
31012202120221222000
4130001110131300
51430321424031
6114352014000
714435565210
oct3401243560
91182527860
10470108016
11221400124
12111531300
137651a331
1446614240
152b4113e6
hex1c054770

470108016 has 160 divisors (see below), whose sum is σ = 1561566720. Its totient is φ = 132627456.

The previous prime is 470108011. The next prime is 470108027. The reversal of 470108016 is 610801074.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470108011) 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, 250056 + ... + 251928.

It is an arithmetic number, because the mean of its divisors is an integer number (9759792).

Almost surely, 2470108016 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 470108016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780783360).

470108016 is an abundant number, since it is smaller than the sum of its proper divisors (1091458704).

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

470108016 is a wasteful number, since it uses less digits than its factorization.

470108016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1980 (or 1968 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 470108016 is about 21681.9744488365. The cubic root of 470108016 is about 777.5575670337.

The spelling of 470108016 in words is "four hundred seventy million, one hundred eight thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 83 84 108 112 126 144 166 168 189 216 249 252 332 336 378 432 498 504 581 664 747 756 996 1008 1162 1328 1494 1512 1743 1873 1992 2241 2324 2988 3024 3486 3746 3984 4482 4648 5229 5619 5976 6972 7492 8964 9296 10458 11238 11952 13111 13944 14984 15687 16857 17928 20916 22476 26222 27888 29968 31374 33714 35856 39333 41832 44952 50571 52444 62748 67428 78666 83664 89904 101142 104888 117999 125496 134856 155459 157332 202284 209776 235998 250992 269712 310918 314664 353997 404568 466377 471996 621836 629328 707994 809136 932754 943992 1088213 1243672 1399131 1415988 1865508 1887984 2176426 2487344 2798262 2831976 3264639 3731016 4197393 4352852 5596524 5663952 6529278 7462032 8394786 8705704 9793917 11193048 13058556 16789572 17411408 19587834 22386096 26117112 29381751 33579144 39175668 52234224 58763502 67158288 78351336 117527004 156702672 235054008 470108016