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5135632 = 241779239
BaseRepresentation
bin10011100101110100010000
3100122220202121
4103211310100
52303320012
6302024024
761436455
oct23456420
910586677
105135632
112998527
121878014
1310aa748
1497982c
156b6a07
hex4e5d10

5135632 has 40 divisors (see below), whose sum is σ = 10713600. Its totient is φ = 2376192.

The previous prime is 5135621. The next prime is 5135653. The reversal of 5135632 is 2365315.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 5135597 and 5135606.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21369 + ... + 21607.

It is an arithmetic number, because the mean of its divisors is an integer number (267840).

Almost surely, 25135632 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 5135632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5356800).

5135632 is an abundant number, since it is smaller than the sum of its proper divisors (5577968).

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

5135632 is a wasteful number, since it uses less digits than its factorization.

5135632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 337 counting only the distinct ones).

The product of its digits is 2700, while the sum is 25.

The square root of 5135632 is about 2266.1932839014. The cubic root of 5135632 is about 172.5300038827.

The spelling of 5135632 in words is "five million, one hundred thirty-five thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 17 34 68 79 136 158 239 272 316 478 632 956 1264 1343 1912 2686 3824 4063 5372 8126 10744 16252 18881 21488 32504 37762 65008 75524 151048 302096 320977 641954 1283908 2567816 5135632