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5472305316 = 22324711932711
BaseRepresentation
bin1010001100010110…
…01100000010100100
3112010101002220122200
411012023030002210
542201402232231
62303002254500
7252415553622
oct50613140244
915111086580
105472305316
112358a78a85
1210887b7430
136929680aa
1439cac8512
1522064dbe6
hex1462cc0a4

5472305316 has 72 divisors (see below), whose sum is σ = 14144143104. Its totient is φ = 1783136640.

The previous prime is 5472305299. The next prime is 5472305339. The reversal of 5472305316 is 6135032745.

5472305316 is a `hidden beast` number, since 54 + 72 + 3 + 0 + 531 + 6 = 666.

It is a super-2 number, since 2×54723053162 = 59892250943043719712, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2017201 + ... + 2019911.

It is an arithmetic number, because the mean of its divisors is an integer number (196446432).

Almost surely, 25472305316 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 5472305316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7072071552).

5472305316 is an abundant number, since it is smaller than the sum of its proper divisors (8671837788).

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

5472305316 is a wasteful number, since it uses less digits than its factorization.

5472305316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3961 (or 3956 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 5472305316 is about 73975.0317066509. The cubic root of 5472305316 is about 1762.2063964833.

The spelling of 5472305316 in words is "five billion, four hundred seventy-two million, three hundred five thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 564 846 1193 1692 2386 2711 3579 4772 5422 7158 8133 10737 10844 14316 16266 21474 24399 32532 42948 48798 56071 97596 112142 127417 168213 224284 254834 336426 382251 504639 509668 672852 764502 1009278 1146753 1529004 2018556 2293506 3234223 4587012 6468446 9702669 12936892 19405338 29108007 38810676 58216014 116432028 152008481 304016962 456025443 608033924 912050886 1368076329 1824101772 2736152658 5472305316