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470843712 = 26331914341
BaseRepresentation
bin11100000100001…
…000000101000000
31012210222100011000
4130010020011000
51431013444322
6114415452000
714445051123
oct3404100500
91183870130
10470843712
11221862939
12111827000
1376717161
14467663ba
152b5093ac
hex1c108140

470843712 has 112 divisors (see below), whose sum is σ = 1457147200. Its totient is φ = 148677120.

The previous prime is 470843699. The next prime is 470843749. The reversal of 470843712 is 217348074.

It is a happy number.

It is a super-2 number, since 2×4708437122 = 443387602259877888, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25662 + ... + 40002.

Almost surely, 2470843712 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 470843712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728573600).

470843712 is an abundant number, since it is smaller than the sum of its proper divisors (986303488).

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

470843712 is a wasteful number, since it uses less digits than its factorization.

470843712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14381 (or 14365 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 470843712 is about 21698.9334300099. The cubic root of 470843712 is about 777.9629687879.

The spelling of 470843712 in words is "four hundred seventy million, eight hundred forty-three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 144 152 171 192 216 228 288 304 342 432 456 513 576 608 684 864 912 1026 1216 1368 1728 1824 2052 2736 3648 4104 5472 8208 10944 14341 16416 28682 32832 43023 57364 86046 114728 129069 172092 229456 258138 272479 344184 387207 458912 516276 544958 688368 774414 817437 917824 1032552 1089916 1376736 1548828 1634874 2065104 2179832 2452311 2753472 3097656 3269748 4130208 4359664 4904622 6195312 6539496 7356933 8260416 8719328 9809244 12390624 13078992 14713866 17438656 19618488 24781248 26157984 29427732 39236976 52315968 58855464 78473952 117710928 156947904 235421856 470843712