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66061248 = 26311311009
BaseRepresentation
bin1111110000000…
…0001111000000
311121022020222220
43330000033000
5113402424443
610315531040
71431340251
oct374001700
9147266886
1066061248
1134320880
121a159a80
13108bcac6
148ab8b28
155beda83
hex3f003c0

66061248 has 112 divisors (see below), whose sum is σ = 197022720. Its totient is φ = 19353600.

The previous prime is 66061223. The next prime is 66061253. The reversal of 66061248 is 84216066.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a zygodrome in base 2 and base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64968 + ... + 65976.

Almost surely, 266061248 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 66061248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98511360).

66061248 is an abundant number, since it is smaller than the sum of its proper divisors (130961472).

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

66061248 is a wasteful number, since it uses less digits than its factorization.

66061248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 66061248 is about 8127.8070843248. The cubic root of 66061248 is about 404.2489724373.

The spelling of 66061248 in words is "sixty-six million, sixty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 32 33 44 48 62 64 66 88 93 96 124 132 176 186 192 248 264 341 352 372 496 528 682 704 744 992 1009 1023 1056 1364 1488 1984 2018 2046 2112 2728 2976 3027 4036 4092 5456 5952 6054 8072 8184 10912 11099 12108 16144 16368 21824 22198 24216 31279 32288 32736 33297 44396 48432 62558 64576 65472 66594 88792 93837 96864 125116 133188 177584 187674 193728 250232 266376 344069 355168 375348 500464 532752 688138 710336 750696 1000928 1032207 1065504 1376276 1501392 2001856 2064414 2131008 2752552 3002784 4128828 5505104 6005568 8257656 11010208 16515312 22020416 33030624 66061248