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63289980 = 2232513173743
BaseRepresentation
bin1111000101101…
…1101001111100
311102002110112100
43301123221330
5112200234410
610140305100
71365645615
oct361335174
9142073470
1063289980
11327a8776
1219242190
131015c5c0
148596c0c
1558528c0
hex3c5ba7c

63289980 has 288 divisors, whose sum is σ = 230053824. Its totient is φ = 13934592.

The previous prime is 63289979. The next prime is 63289999. The reversal of 63289980 is 8998236.

63289980 is a `hidden beast` number, since 632 + 8 + 9 + 9 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1471839 + ... + 1471881.

It is an arithmetic number, because the mean of its divisors is an integer number (798798).

Almost surely, 263289980 is an apocalyptic number.

63289980 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is a pronic number, being equal to 7955×7956.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63289980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115026912).

63289980 is an abundant number, since it is smaller than the sum of its proper divisors (166763844).

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

63289980 is a wasteful number, since it uses less digits than its factorization.

63289980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 63289980 is about 7955.4999842876. The cubic root of 63289980 is about 398.5152875575.

The spelling of 63289980 in words is "sixty-three million, two hundred eighty-nine thousand, nine hundred eighty".