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5013632 = 271323131
BaseRepresentation
bin10011001000000010000000
3100102201102002
4103020002000
52240414012
6255243132
760421001
oct23100200
910381362
105013632
1129148a8
1218194a8
131067060
149471a8
156907c2
hex4c8080

5013632 has 64 divisors (see below), whose sum is σ = 11309760. Its totient is φ = 2196480.

The previous prime is 5013629. The next prime is 5013647. The reversal of 5013632 is 2363105.

It is a tau number, because it is divible by the number of its divisors (64).

It is a cake number, because a cake can be divided into 5013632 parts by 311 planar cuts.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38207 + ... + 38337.

It is an arithmetic number, because the mean of its divisors is an integer number (176715).

Almost surely, 25013632 is an apocalyptic number.

5013632 is a gapful number since it is divisible by the number (52) 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 5013632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5654880).

5013632 is an abundant number, since it is smaller than the sum of its proper divisors (6296128).

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

5013632 is a wasteful number, since it uses less digits than its factorization.

5013632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 5013632 is about 2239.1141105357. The cubic root of 5013632 is about 171.1528562653.

Adding to 5013632 its reverse (2363105), we get a palindrome (7376737).

The spelling of 5013632 in words is "five million, thirteen thousand, six hundred thirty-two".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 92 104 128 131 184 208 262 299 368 416 524 598 736 832 1048 1196 1472 1664 1703 2096 2392 2944 3013 3406 4192 4784 6026 6812 8384 9568 12052 13624 16768 19136 24104 27248 38272 39169 48208 54496 78338 96416 108992 156676 192832 217984 313352 385664 626704 1253408 2506816 5013632