Search a number
-
+
537089376 = 25323347701
BaseRepresentation
bin100000000000110…
…101010101100000
31101102121222010010
4200000311111200
52044443330001
6125143404520
716211120145
oct4000652540
91342558103
10537089376
1125619a21a
1212ba53740
138736cb85
145148c3cc
15322428d6
hex20035560

537089376 has 96 divisors (see below), whose sum is σ = 1477502208. Its totient is φ = 170508800.

The previous prime is 537089341. The next prime is 537089383. The reversal of 537089376 is 673980735.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 765826 + ... + 766526.

It is an arithmetic number, because the mean of its divisors is an integer number (15390648).

Almost surely, 2537089376 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 537089376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738751104).

537089376 is an abundant number, since it is smaller than the sum of its proper divisors (940412832).

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

537089376 is a wasteful number, since it uses less digits than its factorization.

537089376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 48.

The square root of 537089376 is about 23175.1888018199. The cubic root of 537089376 is about 812.8595652247.

The spelling of 537089376 in words is "five hundred thirty-seven million, eighty-nine thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 347 368 552 694 701 736 1041 1104 1388 1402 2082 2103 2208 2776 2804 4164 4206 5552 5608 7981 8328 8412 11104 11216 15962 16123 16656 16824 22432 23943 31924 32246 33312 33648 47886 48369 63848 64492 67296 95772 96738 127696 128984 191544 193476 243247 255392 257968 383088 386952 486494 515936 729741 766176 773904 972988 1459482 1547808 1945976 2918964 3891952 5594681 5837928 7783904 11189362 11675856 16784043 22378724 23351712 33568086 44757448 67136172 89514896 134272344 179029792 268544688 537089376