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5032632 = 2331121733
BaseRepresentation
bin10011001100101010111000
3100110200110210
4103030222320
52242021012
6255511120
760530253
oct23145270
910420423
105032632
112928100
1218284a0
1310728b7
1495009a
1569623c
hex4ccab8

5032632 has 48 divisors (see below), whose sum is σ = 13837320. Its totient is φ = 1524160.

The previous prime is 5032613. The next prime is 5032649. The reversal of 5032632 is 2362305.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 5032599 and 5032608.

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 11 ways as a sum of consecutive naturals, for example, 2038 + ... + 3770.

Almost surely, 25032632 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 5032632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6918660).

5032632 is an abundant number, since it is smaller than the sum of its proper divisors (8804688).

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

5032632 is a wasteful number, since it uses less digits than its factorization.

5032632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1764 (or 1749 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 5032632 is about 2243.3528478596. The cubic root of 5032632 is about 171.3687878838.

Adding to 5032632 its reverse (2362305), we get a palindrome (7394937).

The spelling of 5032632 in words is "five million, thirty-two thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 726 968 1452 1733 2904 3466 5199 6932 10398 13864 19063 20796 38126 41592 57189 76252 114378 152504 209693 228756 419386 457512 629079 838772 1258158 1677544 2516316 5032632