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66024192 = 2831317389
BaseRepresentation
bin1111101111011…
…1001100000000
311121020101011110
43323313030000
5113400233232
610315043320
71431124233
oct373671400
9147211143
1066024192
11342a5a53
121a140540
13108a8c90
148aa941a
155be2acc
hex3ef7300

66024192 has 144 divisors (see below), whose sum is σ = 200884320. Its totient is φ = 19070976.

The previous prime is 66024163. The next prime is 66024197. The reversal of 66024192 is 29142066.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66024197) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169534 + ... + 169922.

It is an arithmetic number, because the mean of its divisors is an integer number (1395030).

Almost surely, 266024192 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 66024192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100442160).

66024192 is an abundant number, since it is smaller than the sum of its proper divisors (134860128).

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

66024192 is a wasteful number, since it uses less digits than its factorization.

66024192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 66024192 is about 8125.5271828971. The cubic root of 66024192 is about 404.1733726359.

The spelling of 66024192 in words is "sixty-six million, twenty-four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 64 68 78 96 102 104 128 136 156 192 204 208 221 256 272 312 384 389 408 416 442 544 624 663 768 778 816 832 884 1088 1167 1248 1326 1556 1632 1664 1768 2176 2334 2496 2652 3112 3264 3328 3536 4352 4668 4992 5057 5304 6224 6528 6613 7072 9336 9984 10114 10608 12448 13056 13226 14144 15171 18672 19839 20228 21216 24896 26452 28288 30342 37344 39678 40456 42432 49792 52904 56576 60684 74688 79356 80912 84864 85969 99584 105808 121368 149376 158712 161824 169728 171938 211616 242736 257907 298752 317424 323648 343876 423232 485472 515814 634848 647296 687752 846464 970944 1031628 1269696 1294592 1375504 1692928 1941888 2063256 2539392 2751008 3883776 4126512 5078784 5502016 8253024 11004032 16506048 22008064 33012096 66024192