Search a number
-
+
73049208 = 23341611217
BaseRepresentation
bin1000101101010…
…10010001111000
312002110021200020
410112222101320
5122200033313
611125410440
71544623311
oct426522170
9162407606
1073049208
1138263a51
1220569a20
13121986ab
1499b7608
15662e323
hex45aa478

73049208 has 64 divisors (see below), whose sum is σ = 190300320. Its totient is φ = 23347200.

The previous prime is 73049201. The next prime is 73049209. The reversal of 73049208 is 80294037.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73049201) 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, 59416 + ... + 60632.

Almost surely, 273049208 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 73049208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95150160).

73049208 is an abundant number, since it is smaller than the sum of its proper divisors (117251112).

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

73049208 is a wasteful number, since it uses less digits than its factorization.

73049208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1328 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 73049208 is about 8546.8829405813. The cubic root of 73049208 is about 418.0278058165.

It can be divided in two parts, 7 and 3049208, that added together give a triangular number (3049215 = T2469).

The spelling of 73049208 in words is "seventy-three million, forty-nine thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 24 41 61 82 122 123 164 183 244 246 328 366 488 492 732 984 1217 1464 2434 2501 3651 4868 5002 7302 7503 9736 10004 14604 15006 20008 29208 30012 49897 60024 74237 99794 148474 149691 199588 222711 296948 299382 399176 445422 593896 598764 890844 1197528 1781688 3043717 6087434 9131151 12174868 18262302 24349736 36524604 73049208