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66848652 = 22341359269
BaseRepresentation
bin1111111100000…
…0011110001100
311122210021010000
43333000132030
5114103124102
610344444300
71441130013
oct377003614
9148707100
1066848652
1134809422
121a479690
1310b07320
148c41a7a
155d0701c
hex3fc078c

66848652 has 120 divisors (see below), whose sum is σ = 192099600. Its totient is φ = 20145024.

The previous prime is 66848651. The next prime is 66848659. The reversal of 66848652 is 25684866.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 66848598 and 66848607.

It is not an unprimeable number, because it can be changed into a prime (66848651) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 248374 + ... + 248642.

It is an arithmetic number, because the mean of its divisors is an integer number (1600830).

Almost surely, 266848652 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 66848652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96049800).

66848652 is an abundant number, since it is smaller than the sum of its proper divisors (125250948).

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

66848652 is a wasteful number, since it uses less digits than its factorization.

66848652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 346 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 66848652 is about 8176.1024944652. The cubic root of 66848652 is about 405.8487550083.

The spelling of 66848652 in words is "sixty-six million, eight hundred forty-eight thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 59 78 81 108 117 118 156 162 177 234 236 269 324 351 354 468 531 538 702 708 767 807 1053 1062 1076 1404 1534 1593 1614 2106 2124 2301 2421 3068 3186 3228 3497 4212 4602 4779 4842 6372 6903 6994 7263 9204 9558 9684 10491 13806 13988 14526 15871 19116 20709 20982 21789 27612 29052 31473 31742 41418 41964 43578 47613 62127 62946 63484 82836 87156 94419 95226 124254 125892 142839 188838 190452 206323 248508 283257 285678 377676 412646 428517 566514 571356 618969 825292 857034 1133028 1237938 1285551 1714068 1856907 2475876 2571102 3713814 5142204 5570721 7427628 11141442 16712163 22282884 33424326 66848652