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536721472 = 2671816619
BaseRepresentation
bin11111111111011…
…011100001000000
31101101221021110001
4133333123201000
52044400041342
6125131445344
716205025430
oct3777334100
91341837401
10536721472
11255a68871
1212b8b6854
1387271591
14513d42c0
15321bd8b7
hex1ffdb840

536721472 has 56 divisors (see below), whose sum is σ = 1224117440. Its totient is φ = 228718080.

The previous prime is 536721469. The next prime is 536721487. The reversal of 536721472 is 274127635.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77779 + ... + 84397.

It is an arithmetic number, because the mean of its divisors is an integer number (21859240).

Almost surely, 2536721472 is an apocalyptic number.

536721472 is the 11584-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 536721472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612058720).

536721472 is an abundant number, since it is smaller than the sum of its proper divisors (687395968).

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

536721472 is a wasteful number, since it uses less digits than its factorization.

536721472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6819 (or 6809 counting only the distinct ones).

The product of its digits is 70560, while the sum is 37.

The square root of 536721472 is about 23167.2499878600. The cubic root of 536721472 is about 812.6739210169.

The spelling of 536721472 in words is "five hundred thirty-six million, seven hundred twenty-one thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 181 224 362 448 724 1267 1448 2534 2896 5068 5792 6619 10136 11584 13238 20272 26476 40544 46333 52952 81088 92666 105904 185332 211808 370664 423616 741328 1198039 1482656 2396078 2965312 4792156 8386273 9584312 16772546 19168624 33545092 38337248 67090184 76674496 134180368 268360736 536721472