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68504832 = 2833111753
BaseRepresentation
bin1000001010101…
…00110100000000
311202220101222000
410011110310000
5120014123312
610444144000
71461165354
oct405246400
9152811860
1068504832
113573a770
121ab38000
1311267106
149153464
156032adc
hex4154d00

68504832 has 288 divisors, whose sum is σ = 238412160. Its totient is φ = 19169280.

The previous prime is 68504801. The next prime is 68504837. The reversal of 68504832 is 23840586.

It is a tau number, because it is divible by the number of its divisors (288).

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 (68504837) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1292518 + ... + 1292570.

It is an arithmetic number, because the mean of its divisors is an integer number (827820).

Almost surely, 268504832 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 68504832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119206080).

68504832 is an abundant number, since it is smaller than the sum of its proper divisors (169907328).

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

68504832 is a wasteful number, since it uses less digits than its factorization.

68504832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 68504832 is about 8276.7645852712. The cubic root of 68504832 is about 409.1730944376.

The spelling of 68504832 in words is "sixty-eight million, five hundred four thousand, eight hundred thirty-two".