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66253248 = 2633231667
BaseRepresentation
bin1111110010111…
…1000111000000
311121200000101000
43330233013000
5113430100443
610324012000
71433100105
oct374570700
9147600330
1066253248
1134442056
121a231000
1310959309
148b28aac
155c3a8d3
hex3f2f1c0

66253248 has 112 divisors (see below), whose sum is σ = 203362560. Its totient is φ = 21111552.

The previous prime is 66253241. The next prime is 66253249. The reversal of 66253248 is 84235266.

66253248 is a `hidden beast` number, since 6 + 625 + 3 + 24 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66253241) 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, 38911 + ... + 40577.

Almost surely, 266253248 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 66253248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101681280).

66253248 is an abundant number, since it is smaller than the sum of its proper divisors (137109312).

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

66253248 is a wasteful number, since it uses less digits than its factorization.

66253248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1711 (or 1695 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 66253248 is about 8139.6098186584. The cubic root of 66253248 is about 404.6402291988.

The spelling of 66253248 in words is "sixty-six million, two hundred fifty-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 92 96 108 138 144 184 192 207 216 276 288 368 414 432 552 576 621 736 828 864 1104 1242 1472 1656 1667 1728 2208 2484 3312 3334 4416 4968 5001 6624 6668 9936 10002 13248 13336 15003 19872 20004 26672 30006 38341 39744 40008 45009 53344 60012 76682 80016 90018 106688 115023 120024 153364 160032 180036 230046 240048 306728 320064 345069 360072 460092 480096 613456 690138 720144 920184 960192 1035207 1226912 1380276 1440288 1840368 2070414 2453824 2760552 2880576 3680736 4140828 5521104 7361472 8281656 11042208 16563312 22084416 33126624 66253248