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5169632 = 251317243
BaseRepresentation
bin10011101110000111100000
3100201122101212
4103232013200
52310412012
6302445252
761640546
oct23560740
910648355
105169632
112a11026
121893828
1310c0070
14987d96
156c1b22
hex4ee1e0

5169632 has 72 divisors (see below), whose sum is σ = 11914056. Its totient is φ = 2193408.

The previous prime is 5169631. The next prime is 5169643. The reversal of 5169632 is 2369615.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5169631) by changing a digit.

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, 120203 + ... + 120245.

It is an arithmetic number, because the mean of its divisors is an integer number (165473).

Almost surely, 25169632 is an apocalyptic number.

5169632 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 5169632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5957028).

5169632 is an abundant number, since it is smaller than the sum of its proper divisors (6744424).

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

5169632 is a wasteful number, since it uses less digits than its factorization.

5169632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 75 counting only the distinct ones).

The product of its digits is 9720, while the sum is 32.

The square root of 5169632 is about 2273.6824756329. The cubic root of 5169632 is about 172.9099066469.

The spelling of 5169632 in words is "five million, one hundred sixty-nine thousand, six hundred thirty-two".

Divisors: 1 2 4 8 13 16 17 26 32 34 43 52 68 86 104 136 172 208 221 272 289 344 416 442 544 559 578 688 731 884 1118 1156 1376 1462 1768 2236 2312 2924 3536 3757 4472 4624 5848 7072 7514 8944 9248 9503 11696 12427 15028 17888 19006 23392 24854 30056 38012 49708 60112 76024 99416 120224 152048 161551 198832 304096 323102 397664 646204 1292408 2584816 5169632