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63498240 = 2113251353
BaseRepresentation
bin1111001000111…
…0100000000000
311102111001012200
43302032200000
5112223420430
610144553200
71400504031
oct362164000
9142431180
1063498240
1132930193
1219322800
1310203330
14860ca88
155894460
hex3c8e800

63498240 has 288 divisors, whose sum is σ = 241473960. Its totient is φ = 15335424.

The previous prime is 63498233. The next prime is 63498241. The reversal of 63498240 is 4289436.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 46457856 + 17040384 = 6816^2 + 4128^2 .

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 junction number, because it is equal to n+sod(n) for n = 63498195 and 63498204.

It is not an unprimeable number, because it can be changed into a prime (63498241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1198054 + ... + 1198106.

Almost surely, 263498240 is an apocalyptic number.

63498240 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63498240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120736980).

63498240 is an abundant number, since it is smaller than the sum of its proper divisors (177975720).

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

63498240 is a wasteful number, since it uses less digits than its factorization.

63498240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 63498240 is about 7968.5782922677. The cubic root of 63498240 is about 398.9519229011.

The spelling of 63498240 in words is "sixty-three million, four hundred ninety-eight thousand, two hundred forty".