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63439040 = 2657127223
BaseRepresentation
bin1111001000000…
…0000011000000
311102101001000002
43302000003000
5112220022130
610143415132
71400136320
oct362000300
9142331002
1063439040
113289a765
12192b44a8
13101b23c2
1485d5280
155881b45
hex3c800c0

63439040 has 112 divisors (see below), whose sum is σ = 174784512. Its totient is φ = 21482496.

The previous prime is 63439031. The next prime is 63439069. The reversal of 63439040 is 4093436.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×634390402 = 8049023592243200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 63438994 and 63439012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 284369 + ... + 284591.

It is an arithmetic number, because the mean of its divisors is an integer number (1560576).

Almost surely, 263439040 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 63439040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87392256).

63439040 is an abundant number, since it is smaller than the sum of its proper divisors (111345472).

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

63439040 is a wasteful number, since it uses less digits than its factorization.

63439040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 29.

The square root of 63439040 is about 7964.8628362326. The cubic root of 63439040 is about 398.8279021546.

The spelling of 63439040 in words is "sixty-three million, four hundred thirty-nine thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 127 140 160 223 224 254 280 320 446 448 508 560 635 889 892 1016 1115 1120 1270 1561 1778 1784 2032 2230 2240 2540 3122 3556 3568 4064 4445 4460 5080 6244 7112 7136 7805 8128 8890 8920 10160 12488 14224 14272 15610 17780 17840 20320 24976 28321 28448 31220 35560 35680 40640 49952 56642 56896 62440 71120 71360 99904 113284 124880 141605 142240 198247 226568 249760 283210 284480 396494 453136 499520 566420 792988 906272 991235 1132840 1585976 1812544 1982470 2265680 3171952 3964940 4531360 6343904 7929880 9062720 12687808 15859760 31719520 63439040