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66245088 = 2537137583
BaseRepresentation
bin1111110010110…
…1000111100000
311121122121011210
43330231013200
5113424320323
610323510120
71433034240
oct374550740
9147577153
1066245088
1134436a08
121a228340
13109556a0
148b25b20
155c38293
hex3f2d1e0

66245088 has 96 divisors (see below), whose sum is σ = 214050816. Its totient is φ = 17468928.

The previous prime is 66245087. The next prime is 66245089. The reversal of 66245088 is 88054266.

It is an interprime number because it is at equal distance from previous prime (66245087) and next prime (66245089).

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

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66245087) 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, 4945 + ... + 12527.

It is an arithmetic number, because the mean of its divisors is an integer number (2229696).

Almost surely, 266245088 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 66245088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107025408).

66245088 is an abundant number, since it is smaller than the sum of its proper divisors (147805728).

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

66245088 is a wasteful number, since it uses less digits than its factorization.

66245088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7616 (or 7608 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 66245088 is about 8139.1085506952. The cubic root of 66245088 is about 404.6236161776.

The spelling of 66245088 in words is "sixty-six million, two hundred forty-five thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 104 112 156 168 182 208 224 273 312 336 364 416 546 624 672 728 1092 1248 1456 2184 2912 4368 7583 8736 15166 22749 30332 45498 53081 60664 90996 98579 106162 121328 159243 181992 197158 212324 242656 295737 318486 363984 394316 424648 591474 636972 690053 727968 788632 849296 1182948 1273944 1380106 1577264 1698592 2070159 2365896 2547888 2760212 3154528 4140318 4731792 5095776 5520424 8280636 9463584 11040848 16561272 22081696 33122544 66245088