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66248112 = 2437712777
BaseRepresentation
bin1111110010110…
…1110110110000
311121122202022210
43330231312300
5113424414422
610323532120
71433046120
oct374556660
9147582283
1066248112
1134439207
121a22a040
1310956b88
148b26c80
155c3910c
hex3f2ddb0

66248112 has 80 divisors (see below), whose sum is σ = 198415872. Its totient is φ = 18654720.

The previous prime is 66248089. The next prime is 66248113. The reversal of 66248112 is 21184266.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 66248112.

It is not an unprimeable number, because it can be changed into a prime (66248113) 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, 22468 + ... + 25244.

Almost surely, 266248112 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 66248112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99207936).

66248112 is an abundant number, since it is smaller than the sum of its proper divisors (132167760).

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

66248112 is a wasteful number, since it uses less digits than its factorization.

66248112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2866 (or 2860 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 66248112 is about 8139.2943183055. The cubic root of 66248112 is about 404.6297729269.

The spelling of 66248112 in words is "sixty-six million, two hundred forty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 71 84 112 142 168 213 284 336 426 497 568 852 994 1136 1491 1704 1988 2777 2982 3408 3976 5554 5964 7952 8331 11108 11928 16662 19439 22216 23856 33324 38878 44432 58317 66648 77756 116634 133296 155512 197167 233268 311024 394334 466536 591501 788668 933072 1183002 1380169 1577336 2366004 2760338 3154672 4140507 4732008 5520676 8281014 9464016 11041352 16562028 22082704 33124056 66248112