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68789952 = 2633711247
BaseRepresentation
bin1000001100110…
…10011011000000
311210102220002000
410012122123000
5120102234302
610454224000
71463463540
oct406323300
9153386060
1068789952
1135914a00
121b055000
1311336b1a
1491c9320
15608c31c
hex419a6c0

68789952 has 336 divisors, whose sum is σ = 259445760. Its totient is φ = 17487360.

The previous prime is 68789933. The next prime is 68789953. The reversal of 68789952 is 25998786.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (2177280) is a multiple of the sum of its prime divisors (70).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68789953) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1463593 + ... + 1463639.

It is an arithmetic number, because the mean of its divisors is an integer number (772160).

Almost surely, 268789952 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 68789952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129722880).

68789952 is an abundant number, since it is smaller than the sum of its proper divisors (190655808).

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

68789952 is a wasteful number, since it uses less digits than its factorization.

68789952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 70 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The square root of 68789952 is about 8293.9708222298. The cubic root of 68789952 is about 409.7399739300.

The spelling of 68789952 in words is "sixty-eight million, seven hundred eighty-nine thousand, nine hundred fifty-two".