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481451364 = 2234232532
BaseRepresentation
bin11100101100100…
…101110101100100
31020112221021010000
4130230211311210
51441222420424
6115435101300
714634161202
oct3454456544
91215837100
10481451364
11227848599
121152a1830
137898c484
1447d28072
152c4023c9
hex1cb25d64

481451364 has 135 divisors (see below), whose sum is σ = 1341003433. Its totient is φ = 150609888.

The previous prime is 481451357. The next prime is 481451389. The reversal of 481451364 is 463154184.

The square root of 481451364 is 21942.

It is a perfect power (a square), and thus also a powerful number.

481451364 is a `hidden beast` number, since 4 + 81 + 4 + 513 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 347076900 + 134374464 = 18630^2 + 11592^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 9083962 + ... + 9084014.

Almost surely, 2481451364 is an apocalyptic number.

481451364 is the 21942-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481451364

481451364 is an abundant number, since it is smaller than the sum of its proper divisors (859552069).

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

481451364 is a wasteful number, since it uses less digits than its factorization.

481451364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 81 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The cubic root of 481451364 is about 783.7618866813.

Multiplying 481451364 by its sum of digits (36), we get a square (17332249104 = 1316522).

481451364 divided by its sum of digits (36) gives a square (13373649 = 36572).

The spelling of 481451364 in words is "four hundred eighty-one million, four hundred fifty-one thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 53 54 69 81 92 106 108 138 159 162 207 212 276 318 324 414 477 529 621 636 828 954 1058 1219 1242 1431 1587 1863 1908 2116 2438 2484 2809 2862 3174 3657 3726 4293 4761 4876 5618 5724 6348 7314 7452 8427 8586 9522 10971 11236 14283 14628 16854 17172 19044 21942 25281 28037 28566 32913 33708 42849 43884 50562 56074 57132 64607 65826 75843 84111 85698 98739 101124 112148 129214 131652 151686 168222 171396 193821 197478 227529 252333 258428 303372 336444 387642 394956 455058 504666 581463 756999 775284 910116 1009332 1162926 1485961 1513998 1744389 2270997 2325852 2971922 3027996 3488778 4457883 4541994 5233167 5943844 6977556 8915766 9083988 10466334 13373649 17831532 20932668 26747298 40120947 53494596 80241894 120362841 160483788 240725682 481451364