Search a number
-
+
64852272 = 24332361107
BaseRepresentation
bin1111011101100…
…1000100110000
311112000211121000
43313121010300
5113100233042
610234002000
71415143452
oct367310460
9145024530
1064852272
1133675521
1219876300
1310588734
1488822d2
155a6074c
hex3dd9130

64852272 has 160 divisors (see below), whose sum is σ = 199272960. Its totient is φ = 20148480.

The previous prime is 64852261. The next prime is 64852303. The reversal of 64852272 is 27225846.

64852272 is a `hidden beast` number, since 64 + 8 + 522 + 72 = 666.

64852272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 606043 + ... + 606149.

It is an arithmetic number, because the mean of its divisors is an integer number (1245456).

Almost surely, 264852272 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 64852272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99636480).

64852272 is an abundant number, since it is smaller than the sum of its proper divisors (134420688).

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

64852272 is a wasteful number, since it uses less digits than its factorization.

64852272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 196 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 64852272 is about 8053.0908352011. The cubic root of 64852272 is about 401.7677428711.

The spelling of 64852272 in words is "sixty-four million, eight hundred fifty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 61 69 72 92 107 108 122 138 144 183 184 207 214 216 244 276 321 366 368 414 428 432 488 549 552 621 642 732 828 856 963 976 1098 1104 1242 1284 1403 1464 1647 1656 1712 1926 2196 2461 2484 2568 2806 2889 2928 3294 3312 3852 4209 4392 4922 4968 5136 5612 5778 6527 6588 7383 7704 8418 8784 9844 9936 11224 11556 12627 13054 13176 14766 15408 16836 19581 19688 22149 22448 23112 25254 26108 26352 29532 33672 37881 39162 39376 44298 46224 50508 52216 58743 59064 66447 67344 75762 78324 88596 101016 104432 117486 118128 132894 150121 151524 156648 176229 177192 202032 234972 265788 300242 303048 313296 352458 354384 450363 469944 531576 600484 606096 704916 900726 939888 1063152 1200968 1351089 1409832 1801452 2401936 2702178 2819664 3602904 4053267 5404356 7205808 8106534 10808712 16213068 21617424 32426136 64852272