Search a number
-
+
73447050 = 23522361349
BaseRepresentation
bin1000110000010…
…11011010001010
312010012111102010
410120023122022
5122300301200
611142120350
71551201225
oct430133212
9163174363
1073447050
1138505946
12207200b6
13122a77c1
149a7c5bc
1566ac150
hex460b68a

73447050 has 96 divisors (see below), whose sum is σ = 193737600. Its totient is φ = 18374400.

The previous prime is 73447043. The next prime is 73447051. The reversal of 73447050 is 5074437.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 73446999 and 73447017.

It is not an unprimeable number, because it can be changed into a prime (73447051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 210276 + ... + 210624.

It is an arithmetic number, because the mean of its divisors is an integer number (2018100).

Almost surely, 273447050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73447050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96868800).

73447050 is an abundant number, since it is smaller than the sum of its proper divisors (120290550).

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

73447050 is a wasteful number, since it uses less digits than its factorization.

73447050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 30.

The square root of 73447050 is about 8570.1254366549. The cubic root of 73447050 is about 418.7853226311.

The spelling of 73447050 in words is "seventy-three million, four hundred forty-seven thousand, fifty".

Divisors: 1 2 3 5 6 10 15 23 25 30 46 50 61 69 75 115 122 138 150 183 230 305 345 349 366 575 610 690 698 915 1047 1150 1403 1525 1725 1745 1830 2094 2806 3050 3450 3490 4209 4575 5235 7015 8027 8418 8725 9150 10470 14030 16054 17450 21045 21289 24081 26175 35075 40135 42090 42578 48162 52350 63867 70150 80270 105225 106445 120405 127734 200675 210450 212890 240810 319335 401350 489647 532225 602025 638670 979294 1064450 1204050 1468941 1596675 2448235 2937882 3193350 4896470 7344705 12241175 14689410 24482350 36723525 73447050