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537212016 = 2432112291481
BaseRepresentation
bin100000000001010…
…011010001110000
31101102212012100100
4200001103101300
52100011241031
6125150152400
716212140535
oct4001232160
91342765310
10537212016
11256273380
1212bab2700
13873b3943
14514c0d8c
1532268de6
hex20053470

537212016 has 120 divisors (see below), whose sum is σ = 1648398960. Its totient is φ = 161971200.

The previous prime is 537212009. The next prime is 537212047. The reversal of 537212016 is 610212735.

It is a happy number.

537212016 is a `hidden beast` number, since 537 + 2 + 120 + 1 + 6 = 666.

It is a congruent number.

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, 361996 + ... + 363476.

It is an arithmetic number, because the mean of its divisors is an integer number (13736658).

Almost surely, 2537212016 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 537212016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824199480).

537212016 is an abundant number, since it is smaller than the sum of its proper divisors (1111186944).

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

537212016 is a wasteful number, since it uses less digits than its factorization.

537212016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1735 (or 1726 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 537212016 is about 23177.8345839295. The cubic root of 537212016 is about 812.9214304776.

The spelling of 537212016 in words is "five hundred thirty-seven million, two hundred twelve thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 229 264 396 458 528 687 792 916 1374 1481 1584 1832 2061 2519 2748 2962 3664 4122 4443 5038 5496 5924 7557 8244 8886 10076 10992 11848 13329 15114 16291 16488 17772 20152 22671 23696 26658 30228 32582 32976 35544 40304 45342 48873 53316 60456 65164 71088 90684 97746 106632 120912 130328 146619 181368 195492 213264 260656 293238 339149 362736 390984 586476 678298 781968 1017447 1172952 1356596 2034894 2345904 2713192 3052341 3730639 4069788 5426384 6104682 7461278 8139576 11191917 12209364 14922556 16279152 22383834 24418728 29845112 33575751 44767668 48837456 59690224 67151502 89535336 134303004 179070672 268606008 537212016