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63788980 = 225291091009
BaseRepresentation
bin1111001101010…
…1011110110100
311110000211000211
43303111132310
5112312221410
610155115204
71403124463
oct363253664
9143024024
1063788980
1133009672
1219442b04
13102a5778
1486869da
15590068a
hex3cd57b4

63788980 has 48 divisors (see below), whose sum is σ = 139986000. Its totient is φ = 24385536.

The previous prime is 63788957. The next prime is 63788983. The reversal of 63788980 is 8988736.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 204304 + 63584676 = 452^2 + 7974^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63788983) 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, 62716 + ... + 63724.

It is an arithmetic number, because the mean of its divisors is an integer number (2916375).

Almost surely, 263788980 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 63788980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69993000).

63788980 is an abundant number, since it is smaller than the sum of its proper divisors (76197020).

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

63788980 is a wasteful number, since it uses less digits than its factorization.

63788980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156 (or 1154 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 49.

The square root of 63788980 is about 7986.8003605950. The cubic root of 63788980 is about 399.5598909376.

The spelling of 63788980 in words is "sixty-three million, seven hundred eighty-eight thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 29 58 109 116 145 218 290 436 545 580 1009 1090 2018 2180 3161 4036 5045 6322 10090 12644 15805 20180 29261 31610 58522 63220 109981 117044 146305 219962 292610 439924 549905 585220 1099810 2199620 3189449 6378898 12757796 15947245 31894490 63788980