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68088288 = 2532937661
BaseRepresentation
bin1000000111011…
…11000111100000
311202010020120110
410003233013200
5114412311123
610431211320
71454512062
oct403570740
9152106513
1068088288
1135485814
121a976b40
131114c638
149085732
155e9e493
hex40ef1e0

68088288 has 96 divisors (see below), whose sum is σ = 190179360. Its totient is φ = 21288960.

The previous prime is 68088287. The next prime is 68088311. The reversal of 68088288 is 88288086.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68088287) 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, 102678 + ... + 103338.

It is an arithmetic number, because the mean of its divisors is an integer number (1981035).

Almost surely, 268088288 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 68088288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95089680).

68088288 is an abundant number, since it is smaller than the sum of its proper divisors (122091072).

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

68088288 is a wasteful number, since it uses less digits than its factorization.

68088288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 48.

The square root of 68088288 is about 8251.5627610774. The cubic root of 68088288 is about 408.3420814267.

The spelling of 68088288 in words is "sixty-eight million, eighty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 37 48 58 74 87 96 111 116 148 174 222 232 296 348 444 464 592 661 696 888 928 1073 1184 1322 1392 1776 1983 2146 2644 2784 3219 3552 3966 4292 5288 6438 7932 8584 10576 12876 15864 17168 19169 21152 24457 25752 31728 34336 38338 48914 51504 57507 63456 73371 76676 97828 103008 115014 146742 153352 195656 230028 293484 306704 391312 460056 586968 613408 709253 782624 920112 1173936 1418506 1840224 2127759 2347872 2837012 4255518 5674024 8511036 11348048 17022072 22696096 34044144 68088288