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470981568 = 2637931051
BaseRepresentation
bin11100000100101…
…001101111000000
31012211020100020210
4130010221233000
51431032402233
6114422434120
714446164051
oct3404515700
91184210223
10470981568
11221947472
12111892940
1376764b25
14467a0728
152b535163
hex1c129bc0

470981568 has 56 divisors (see below), whose sum is σ = 1261953280. Its totient is φ = 155001600.

The previous prime is 470981561. The next prime is 470981569. The reversal of 470981568 is 865189074.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470981561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 358 + ... + 30693.

It is an arithmetic number, because the mean of its divisors is an integer number (22534880).

Almost surely, 2470981568 is an apocalyptic number.

470981568 is a gapful number since it is divisible by the number (48) 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 470981568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630976640).

470981568 is an abundant number, since it is smaller than the sum of its proper divisors (790971712).

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

470981568 is a wasteful number, since it uses less digits than its factorization.

470981568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31145 (or 31135 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The square root of 470981568 is about 21702.1097591916. The cubic root of 470981568 is about 778.0388866882.

The spelling of 470981568 in words is "four hundred seventy million, nine hundred eighty-one thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 158 192 237 316 474 632 948 1264 1896 2528 3792 5056 7584 15168 31051 62102 93153 124204 186306 248408 372612 496816 745224 993632 1490448 1987264 2453029 2980896 4906058 5961792 7359087 9812116 14718174 19624232 29436348 39248464 58872696 78496928 117745392 156993856 235490784 470981568