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73049268 = 223311311499
BaseRepresentation
bin1000101101010…
…10010010110100
312002110021202110
410112222102310
5122200034033
611125411020
71544623425
oct426522264
9162407673
1073049268
1138263aa6
1220569a70
1312198726
1499b764c
15662e363
hex45aa4b4

73049268 has 48 divisors (see below), whose sum is σ = 177408000. Its totient is φ = 23368800.

The previous prime is 73049267. The next prime is 73049297. The reversal of 73049268 is 86294037.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73049261) 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, 47983 + ... + 49481.

It is an arithmetic number, because the mean of its divisors is an integer number (3696000).

Almost surely, 273049268 is an apocalyptic number.

It is an amenable number.

73049268 is an abundant number, since it is smaller than the sum of its proper divisors (104358732).

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

73049268 is a wasteful number, since it uses less digits than its factorization.

73049268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1668 (or 1666 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 73049268 is about 8546.8864506322. The cubic root of 73049268 is about 418.0279202675.

The spelling of 73049268 in words is "seventy-three million, forty-nine thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 12 31 62 93 124 131 186 262 372 393 524 786 1499 1572 2998 4061 4497 5996 8122 8994 12183 16244 17988 24366 46469 48732 92938 139407 185876 196369 278814 392738 557628 589107 785476 1178214 2356428 6087439 12174878 18262317 24349756 36524634 73049268