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52493184 = 27346183
BaseRepresentation
bin1100100000111…
…1101110000000
310122202221010000
43020033232000
5101414240214
65113040000
71205120232
oct310175600
9118687100
1052493184
11276a39a7
12156b6000
13ab4c173
146d86252
15491d809
hex320fb80

52493184 has 160 divisors (see below), whose sum is σ = 160692840. Its totient is φ = 17003520.

The previous prime is 52493173. The next prime is 52493251. The reversal of 52493184 is 48139425.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 19 ways as a sum of consecutive naturals, for example, 632407 + ... + 632489.

Almost surely, 252493184 is an apocalyptic number.

52493184 is a gapful number since it is divisible by the number (54) 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 52493184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80346420).

52493184 is an abundant number, since it is smaller than the sum of its proper divisors (108199656).

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

52493184 is an equidigital number, since it uses as much as digits as its factorization.

52493184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 149 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 52493184 is about 7245.2180091423. The cubic root of 52493184 is about 374.4274141662.

The spelling of 52493184 in words is "fifty-two million, four hundred ninety-three thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 64 72 81 83 96 108 122 128 144 162 166 183 192 216 244 249 288 324 332 366 384 432 488 498 549 576 648 664 732 747 864 976 996 1098 1152 1296 1328 1464 1494 1647 1728 1952 1992 2196 2241 2592 2656 2928 2988 3294 3456 3904 3984 4392 4482 4941 5063 5184 5312 5856 5976 6588 6723 7808 7968 8784 8964 9882 10126 10368 10624 11712 11952 13176 13446 15189 15936 17568 17928 19764 20252 23424 23904 26352 26892 30378 31872 35136 35856 39528 40504 45567 47808 52704 53784 60756 70272 71712 79056 81008 91134 95616 105408 107568 121512 136701 143424 158112 162016 182268 210816 215136 243024 273402 286848 316224 324032 364536 410103 430272 486048 546804 632448 648064 729072 820206 860544 972096 1093608 1458144 1640412 1944192 2187216 2916288 3280824 4374432 5832576 6561648 8748864 13123296 17497728 26246592 52493184