Search a number
-
+
63271104 = 2631325349
BaseRepresentation
bin1111000101011…
…1000011000000
311102001111122020
43301113003000
5112144133404
610140041440
71365536601
oct361270300
9142044566
1063271104
1132795576
1219233280
1310153b30
14858dda8
15584bed9
hex3c570c0

63271104 has 56 divisors (see below), whose sum is σ = 180289200. Its totient is φ = 19467264.

The previous prime is 63271067. The next prime is 63271151. The reversal of 63271104 is 40117236.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10179 + ... + 15170.

It is an arithmetic number, because the mean of its divisors is an integer number (3219450).

Almost surely, 263271104 is an apocalyptic number.

63271104 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

63271104 is an abundant number, since it is smaller than the sum of its proper divisors (117018096).

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

63271104 is a wasteful number, since it uses less digits than its factorization.

63271104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25377 (or 25367 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 63271104 is about 7954.3135467493. The cubic root of 63271104 is about 398.4756650531.

The spelling of 63271104 in words is "sixty-three million, two hundred seventy-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2496 25349 50698 76047 101396 152094 202792 304188 329537 405584 608376 659074 811168 988611 1216752 1318148 1622336 1977222 2433504 2636296 3954444 4867008 5272592 7908888 10545184 15817776 21090368 31635552 63271104