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855130464 = 253217174659
BaseRepresentation
bin110010111110000…
…100000101100000
32012121002010110200
4302332010011200
53222403133324
6220504225200
730122326506
oct6276040540
92177063420
10855130464
113a97761a1
121ba46b200
13108216576
14817da676
1550116ec9
hex32f84160

855130464 has 72 divisors (see below), whose sum is σ = 2574837720. Its totient is φ = 268274688.

The previous prime is 855130459. The next prime is 855130469. The reversal of 855130464 is 464031558.

It is a happy number.

855130464 is a `hidden beast` number, since 85 + 513 + 0 + 4 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (855130459) and next prime (855130469).

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×8551304642 = 1462496220921710592, 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 not an unprimeable number, because it can be changed into a prime (855130469) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82434 + ... + 92225.

It is an arithmetic number, because the mean of its divisors is an integer number (35761635).

Almost surely, 2855130464 is an apocalyptic number.

It is an amenable number.

855130464 is an abundant number, since it is smaller than the sum of its proper divisors (1719707256).

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

855130464 is a wasteful number, since it uses less digits than its factorization.

855130464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174692 (or 174681 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 855130464 is about 29242.6138366597. The cubic root of 855130464 is about 949.1702686896.

The spelling of 855130464 in words is "eight hundred fifty-five million, one hundred thirty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 174659 349318 523977 698636 1047954 1397272 1571931 2095908 2794544 2969203 3143862 4191816 5589088 5938406 6287724 8383632 8907609 11876812 12575448 16767264 17815218 23753624 25150896 26722827 35630436 47507248 50301792 53445654 71260872 95014496 106891308 142521744 213782616 285043488 427565232 855130464