Search a number
-
+
73300992 = 2103107223
BaseRepresentation
bin1000101111001…
…11110000000000
312002221002001120
410113213300000
5122231112432
611135032240
71550022342
oct427476000
9162832046
1073300992
1138416136
122066b680
131225618b
149a41292
15667dc2c
hex45e7c00

73300992 has 88 divisors (see below), whose sum is σ = 198084096. Its totient is φ = 24096768.

The previous prime is 73300963. The next prime is 73300999. The reversal of 73300992 is 29900337.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73300999) 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 7 ways as a sum of consecutive naturals, for example, 328593 + ... + 328815.

Almost surely, 273300992 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 73300992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99042048).

73300992 is an abundant number, since it is smaller than the sum of its proper divisors (124783104).

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

73300992 is a wasteful number, since it uses less digits than its factorization.

73300992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 33.

The square root of 73300992 is about 8561.5998504952. The cubic root of 73300992 is about 418.5075373088.

The spelling of 73300992 in words is "seventy-three million, three hundred thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 107 128 192 214 223 256 321 384 428 446 512 642 669 768 856 892 1024 1284 1338 1536 1712 1784 2568 2676 3072 3424 3568 5136 5352 6848 7136 10272 10704 13696 14272 20544 21408 23861 27392 28544 41088 42816 47722 54784 57088 71583 82176 85632 95444 109568 114176 143166 164352 171264 190888 228352 286332 328704 342528 381776 572664 685056 763552 1145328 1527104 2290656 3054208 4581312 6108416 9162624 12216832 18325248 24433664 36650496 73300992