Search a number
-
+
73058656 = 25111729421
BaseRepresentation
bin1000101101011…
…00100101100000
312002110202122011
410112230211200
5122200334111
611125522304
71544662666
oct426544540
9162422564
1073058656
1138270060
1220573394
131219ca98
1499bac36
156632021
hex45ac960

73058656 has 96 divisors (see below), whose sum is σ = 172277280. Its totient is φ = 30105600.

The previous prime is 73058617. The next prime is 73058669. The reversal of 73058656 is 65685037.

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 15 ways as a sum of consecutive naturals, for example, 173326 + ... + 173746.

It is an arithmetic number, because the mean of its divisors is an integer number (1794555).

Almost surely, 273058656 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 73058656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86138640).

73058656 is an abundant number, since it is smaller than the sum of its proper divisors (99218624).

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

73058656 is a wasteful number, since it uses less digits than its factorization.

73058656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 40.

The square root of 73058656 is about 8547.4356388334. The cubic root of 73058656 is about 418.0458272596.

The spelling of 73058656 in words is "seventy-three million, fifty-eight thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 16 17 22 29 32 34 44 58 68 88 116 136 176 187 232 272 319 352 374 421 464 493 544 638 748 842 928 986 1276 1496 1684 1972 2552 2992 3368 3944 4631 5104 5423 5984 6736 7157 7888 9262 10208 10846 12209 13472 14314 15776 18524 21692 24418 28628 37048 43384 48836 57256 74096 78727 86768 97672 114512 134299 148192 157454 173536 195344 207553 229024 268598 314908 390688 415106 537196 629816 830212 1074392 1259632 1660424 2148784 2283083 2519264 3320848 4297568 4566166 6641696 9132332 18264664 36529328 73058656