Search a number
-
+
73250304 = 293103463
BaseRepresentation
bin1000101110110…
…11011000000000
312002211111112020
410113123120000
5122223002204
611134001440
71546421511
oct427333000
9162744466
1073250304
1138391046
1220646280
131223909a
149a2aa08
15666dbd9
hex45db600

73250304 has 80 divisors (see below), whose sum is σ = 197463552. Its totient is φ = 24127488.

The previous prime is 73250291. The next prime is 73250311. The reversal of 73250304 is 40305237.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 157977 + ... + 158439.

Almost surely, 273250304 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 73250304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98731776).

73250304 is an abundant number, since it is smaller than the sum of its proper divisors (124213248).

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

73250304 is a wasteful number, since it uses less digits than its factorization.

73250304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 24.

The square root of 73250304 is about 8558.6391441630. The cubic root of 73250304 is about 418.4110483844.

The spelling of 73250304 in words is "seventy-three million, two hundred fifty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 103 128 192 206 256 309 384 412 463 512 618 768 824 926 1236 1389 1536 1648 1852 2472 2778 3296 3704 4944 5556 6592 7408 9888 11112 13184 14816 19776 22224 26368 29632 39552 44448 47689 52736 59264 79104 88896 95378 118528 143067 158208 177792 190756 237056 286134 355584 381512 572268 711168 763024 1144536 1526048 2289072 3052096 4578144 6104192 9156288 12208384 18312576 24416768 36625152 73250304