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63253440 = 263357321
BaseRepresentation
bin1111000101001…
…0101111000000
311102000121102000
43301102233000
5112143102230
610135424000
71365434235
oct361225700
9142017360
1063253440
1132783278
1219225000
1310148a93
14858778c
155846b60
hex3c52bc0

63253440 has 112 divisors (see below), whose sum is σ = 223174560. Its totient is φ = 16865280.

The previous prime is 63253417. The next prime is 63253441. The reversal of 63253440 is 4435236.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63253441) 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, 4980 + ... + 12300.

It is an arithmetic number, because the mean of its divisors is an integer number (1992630).

Almost surely, 263253440 is an apocalyptic number.

63253440 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 63253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111587280).

63253440 is an abundant number, since it is smaller than the sum of its proper divisors (159921120).

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

63253440 is a wasteful number, since it uses less digits than its factorization.

63253440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7347 (or 7331 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 63253440 is about 7953.2031282999. The cubic root of 63253440 is about 398.4385795126.

Adding to 63253440 its reverse (4435236), we get a palindrome (67688676).

The spelling of 63253440 in words is "sixty-three million, two hundred fifty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1728 2160 2880 4320 7321 8640 14642 21963 29284 36605 43926 58568 65889 73210 87852 109815 117136 131778 146420 175704 197667 219630 234272 263556 292840 329445 351408 395334 439260 468544 527112 585680 658890 702816 790668 878520 988335 1054224 1171360 1317780 1405632 1581336 1757040 1976670 2108448 2342720 2635560 3162672 3514080 3953340 4216896 5271120 6325344 7028160 7906680 10542240 12650688 15813360 21084480 31626720 63253440