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52103232 = 2632172313
BaseRepresentation
bin1100011011000…
…0100001000000
310122001010012100
43012300201000
5101314300412
65100430400
71201604316
oct306604100
9118033170
1052103232
1127457a25
1215548400
13aa4381c
146cc40b6
154892edc
hex31b0840

52103232 has 126 divisors (see below), whose sum is σ = 159153098. Its totient is φ = 16293888.

The previous prime is 52103231. The next prime is 52103237. The reversal of 52103232 is 23230125.

It can be written as a sum of positive squares in 3 ways, for example, as 5645376 + 46457856 = 2376^2 + 6816^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52103231) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 166308 + ... + 166620.

Almost surely, 252103232 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 52103232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79576549).

52103232 is an abundant number, since it is smaller than the sum of its proper divisors (107049866).

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

52103232 is a wasteful number, since it uses less digits than its factorization.

52103232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 52103232 is about 7218.2568532853. The cubic root of 52103232 is about 373.4979489465.

Adding to 52103232 its reverse (23230125), we get a palindrome (75333357).

The spelling of 52103232 in words is "fifty-two million, one hundred three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 136 144 153 192 204 272 288 289 306 313 408 544 576 578 612 626 816 867 939 1088 1156 1224 1252 1632 1734 1878 2312 2448 2504 2601 2817 3264 3468 3756 4624 4896 5008 5202 5321 5634 6936 7512 9248 9792 10016 10404 10642 11268 13872 15024 15963 18496 20032 20808 21284 22536 27744 30048 31926 41616 42568 45072 47889 55488 60096 63852 83232 85136 90144 90457 95778 127704 166464 170272 180288 180914 191556 255408 271371 340544 361828 383112 510816 542742 723656 766224 814113 1021632 1085484 1447312 1532448 1628226 2170968 2894624 3064896 3256452 4341936 5789248 6512904 8683872 13025808 17367744 26051616 52103232