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13631488 = 22013
BaseRepresentation
bin110100000000…
…000000000000
3221122112212221
4310000000000
511442201423
61204100424
7223602643
oct64000000
927575787
1013631488
1177705a2
124694714
132a93790
141b4ba5a
1512e3e5d
hexd00000

13631488 has 42 divisors (see below), whose sum is σ = 29360114. Its totient is φ = 6291456.

The previous prime is 13631477. The next prime is 13631489. The reversal of 13631488 is 88413631.

It can be written as a sum of positive squares in only one way, i.e., 9437184 + 4194304 = 3072^2 + 2048^2 .

It is a nialpdrome in base 4, base 8 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13631489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1048570 + ... + 1048582.

Almost surely, 213631488 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 13631488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14680057).

13631488 is an abundant number, since it is smaller than the sum of its proper divisors (15728626).

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

13631488 is an frugal number, since it uses more digits than its factorization.

13631488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 15 counting only the distinct ones).

The product of its digits is 13824, while the sum is 34.

The square root of 13631488 is about 3692.0845060751. The cubic root of 13631488 is about 238.8807140363.

The spelling of 13631488 in words is "thirteen million, six hundred thirty-one thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1024 1664 2048 3328 4096 6656 8192 13312 16384 26624 32768 53248 65536 106496 131072 212992 262144 425984 524288 851968 1048576 1703936 3407872 6815744 13631488