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66489312 = 25317131311
BaseRepresentation
bin1111110110100…
…0101111100000
311122010000012010
43331220233200
5114010124222
610333032520
71435102251
oct375505740
9148100163
1066489312
113459344a
121a325740
1310a0c8b6
148b8ab28
155c8580c
hex3f68be0

66489312 has 96 divisors (see below), whose sum is σ = 186810624. Its totient is φ = 20633600.

The previous prime is 66489307. The next prime is 66489317. The reversal of 66489312 is 21398466.

It is an interprime number because it is at equal distance from previous prime (66489307) and next prime (66489317).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×664893122 = 8841657220466688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66489317) 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, 213637 + ... + 213947.

It is an arithmetic number, because the mean of its divisors is an integer number (1945944).

Almost surely, 266489312 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 66489312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93405312).

66489312 is an abundant number, since it is smaller than the sum of its proper divisors (120321312).

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

66489312 is a wasteful number, since it uses less digits than its factorization.

66489312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 464 counting only the distinct ones).

The product of its digits is 62208, while the sum is 39.

The square root of 66489312 is about 8154.0978654907. The cubic root of 66489312 is about 405.1202447408.

The spelling of 66489312 in words is "sixty-six million, four hundred eighty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 131 136 204 262 272 311 393 408 524 544 622 786 816 933 1048 1244 1572 1632 1866 2096 2227 2488 3144 3732 4192 4454 4976 5287 6288 6681 7464 8908 9952 10574 12576 13362 14928 15861 17816 21148 26724 29856 31722 35632 40741 42296 53448 63444 71264 81482 84592 106896 122223 126888 162964 169184 213792 244446 253776 325928 488892 507552 651856 692597 977784 1303712 1385194 1955568 2077791 2770388 3911136 4155582 5540776 8311164 11081552 16622328 22163104 33244656 66489312