Search a number
-
+
73042112 = 26111323347
BaseRepresentation
bin1000101101010…
…00100011000000
312002102220221102
410112220203000
5122144321422
611125313532
71544563523
oct426504300
9162386842
1073042112
1138259690
12205658a8
13121953b0
1499b4bba
15662c192
hex45a88c0

73042112 has 112 divisors (see below), whose sum is σ = 178198272. Its totient is φ = 29230080.

The previous prime is 73042111. The next prime is 73042117. The reversal of 73042112 is 21124037.

It is not an unprimeable number, because it can be changed into a prime (73042111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210323 + ... + 210669.

It is an arithmetic number, because the mean of its divisors is an integer number (1591056).

Almost surely, 273042112 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 73042112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89099136).

73042112 is an abundant number, since it is smaller than the sum of its proper divisors (105156160).

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

73042112 is a wasteful number, since it uses less digits than its factorization.

73042112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 73042112 is about 8546.4678083990. The cubic root of 73042112 is about 418.0142696379.

Adding to 73042112 its reverse (21124037), we get a palindrome (94166149).

The spelling of 73042112 in words is "seventy-three million, forty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 13 16 22 23 26 32 44 46 52 64 88 92 104 143 176 184 208 253 286 299 347 352 368 416 506 572 598 694 704 736 832 1012 1144 1196 1388 1472 2024 2288 2392 2776 3289 3817 4048 4511 4576 4784 5552 6578 7634 7981 8096 9022 9152 9568 11104 13156 15268 15962 16192 18044 19136 22208 26312 30536 31924 36088 49621 52624 61072 63848 72176 87791 99242 103753 105248 122144 127696 144352 175582 198484 207506 210496 244288 255392 288704 351164 396968 415012 510784 702328 793936 830024 1141283 1404656 1587872 1660048 2282566 2809312 3175744 3320096 4565132 5618624 6640192 9130264 18260528 36521056 73042112