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63144004 = 22711439467
BaseRepresentation
bin1111000011100…
…0000001000100
311101211001021211
43300320001010
5112131102004
610133221204
71364500210
oct360700104
9141731254
1063144004
1132709030
1219191804
131010b021
148559940
155824504
hex3c38044

63144004 has 48 divisors (see below), whose sum is σ = 138378240. Its totient is φ = 24492960.

The previous prime is 63143981. The next prime is 63144007. The reversal of 63144004 is 40044136.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (63144007) 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, 134979 + ... + 135445.

It is an arithmetic number, because the mean of its divisors is an integer number (2882880).

Almost surely, 263144004 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 63144004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69189120).

63144004 is an abundant number, since it is smaller than the sum of its proper divisors (75234236).

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

63144004 is a wasteful number, since it uses less digits than its factorization.

63144004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 63144004 is about 7946.3201546376. The cubic root of 63144004 is about 398.2086647706.

The spelling of 63144004 in words is "sixty-three million, one hundred forty-four thousand, four".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 439 467 878 934 1756 1868 3073 3269 4829 5137 6146 6538 9658 10274 12292 13076 19316 20548 33803 35959 67606 71918 135212 143836 205013 410026 820052 1435091 2255143 2870182 4510286 5740364 9020572 15786001 31572002 63144004