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5103648 = 253411179
BaseRepresentation
bin10011011110000000100000
3100121021220000
4103132000200
52301304043
6301220000
761244304
oct23360040
910537800
105103648
1129764a0
121861600
131099014
1496bd04
156ac2d3
hex4de020

5103648 has 120 divisors (see below), whose sum is σ = 16465680. Its totient is φ = 1537920.

The previous prime is 5103619. The next prime is 5103653. The reversal of 5103648 is 8463015.

5103648 is a `hidden beast` number, since 5 + 10 + 3 + 648 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 28423 + ... + 28601.

It is an arithmetic number, because the mean of its divisors is an integer number (137214).

Almost surely, 25103648 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 5103648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8232840).

5103648 is an abundant number, since it is smaller than the sum of its proper divisors (11362032).

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

5103648 is a wasteful number, since it uses less digits than its factorization.

5103648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 5103648 is about 2259.1254945222. The cubic root of 5103648 is about 172.1710934980.

The spelling of 5103648 in words is "five million, one hundred three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 81 88 96 99 108 132 144 162 176 179 198 216 264 288 297 324 352 358 396 432 528 537 594 648 716 792 864 891 1056 1074 1188 1296 1432 1584 1611 1782 1969 2148 2376 2592 2864 3168 3222 3564 3938 4296 4752 4833 5728 5907 6444 7128 7876 8592 9504 9666 11814 12888 14256 14499 15752 17184 17721 19332 23628 25776 28512 28998 31504 35442 38664 47256 51552 53163 57996 63008 70884 77328 94512 106326 115992 141768 154656 159489 189024 212652 231984 283536 318978 425304 463968 567072 637956 850608 1275912 1701216 2551824 5103648