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73113288 = 23353229251
BaseRepresentation
bin1000101101110…
…01111011001000
312002120112120120
410112321323020
5122204111123
611131023240
71545311163
oct426717310
9162515516
1073113288
11382a8106
122059ab20
13121bb901
1499d2ada
1566432e3
hex45b9ec8

73113288 has 64 divisors (see below), whose sum is σ = 187790400. Its totient is φ = 23712000.

The previous prime is 73113253. The next prime is 73113307. The reversal of 73113288 is 88231137.

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, 291163 + ... + 291413.

It is an arithmetic number, because the mean of its divisors is an integer number (2934225).

Almost surely, 273113288 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 73113288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93895200).

73113288 is an abundant number, since it is smaller than the sum of its proper divisors (114677112).

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

73113288 is a wasteful number, since it uses less digits than its factorization.

73113288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 538 counting only the distinct ones).

The product of its digits is 8064, while the sum is 33.

The square root of 73113288 is about 8550.6308539195. The cubic root of 73113288 is about 418.1500037778.

The spelling of 73113288 in words is "seventy-three million, one hundred thirteen thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 212 229 251 318 424 458 502 636 687 753 916 1004 1272 1374 1506 1832 2008 2748 3012 5496 6024 12137 13303 24274 26606 36411 39909 48548 53212 57479 72822 79818 97096 106424 114958 145644 159636 172437 229916 291288 319272 344874 459832 689748 1379496 3046387 6092774 9139161 12185548 18278322 24371096 36556644 73113288