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63242028 = 22323779601
BaseRepresentation
bin1111000100111…
…1111100101100
311102000000202100
43301033330230
5112142221103
610135255100
71365356043
oct361177454
9142000670
1063242028
1132775743
121921a490
1310143825
14858355a
1558435a3
hex3c4ff2c

63242028 has 72 divisors (see below), whose sum is σ = 166537280. Its totient is φ = 20217600.

The previous prime is 63242021. The next prime is 63242071. The reversal of 63242028 is 82024236.

63242028 is a `hidden beast` number, since 632 + 4 + 2 + 0 + 28 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 63241992 and 63242010.

It is not an unprimeable number, because it can be changed into a prime (63242021) 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, 104928 + ... + 105528.

Almost surely, 263242028 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 63242028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83268640).

63242028 is an abundant number, since it is smaller than the sum of its proper divisors (103295252).

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

63242028 is a wasteful number, since it uses less digits than its factorization.

63242028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 63242028 is about 7952.4856491540. The cubic root of 63242028 is about 398.4146163651.

The spelling of 63242028 in words is "sixty-three million, two hundred forty-two thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 79 111 148 158 222 237 316 333 444 474 601 666 711 948 1202 1332 1422 1803 2404 2844 2923 3606 5409 5846 7212 8769 10818 11692 17538 21636 22237 26307 35076 44474 47479 52614 66711 88948 94958 105228 133422 142437 189916 200133 266844 284874 400266 427311 569748 800532 854622 1709244 1756723 3513446 5270169 7026892 10540338 15810507 21080676 31621014 63242028