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471613472 = 251123492
BaseRepresentation
bin11100000111000…
…100000000100000
31012212102110001122
4130013010000200
51431213112342
6114444151412
714454435251
oct3407040040
91185373048
10471613472
11222239200
12111b38568
1376926635
14468c6b28
152b60c4d2
hex1c1c4020

471613472 has 54 divisors (see below), whose sum is σ = 1023503229. Its totient is φ = 213755520.

The previous prime is 471613409. The next prime is 471613477. The reversal of 471613472 is 274316174.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 444197776 + 27415696 = 21076^2 + 5236^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=15356.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (471613477) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1351154 + ... + 1351502.

Almost surely, 2471613472 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 471613472

471613472 is an abundant number, since it is smaller than the sum of its proper divisors (551889757).

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

471613472 is an equidigital number, since it uses as much as digits as its factorization.

471613472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 362 counting only the distinct ones).

The product of its digits is 28224, while the sum is 35.

The square root of 471613472 is about 21716.6634638012. The cubic root of 471613472 is about 778.3866895220.

The spelling of 471613472 in words is "four hundred seventy-one million, six hundred thirteen thousand, four hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 349 352 484 698 968 1396 1936 2792 3839 3872 5584 7678 11168 15356 30712 42229 61424 84458 121801 122848 168916 243602 337832 487204 675664 974408 1339811 1351328 1948816 2679622 3897632 5359244 10718488 14737921 21436976 29475842 42873952 58951684 117903368 235806736 471613472