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53444352 = 2831353101
BaseRepresentation
bin1100101111011…
…1111100000000
310201120020212110
43023313330000
5102140204402
65145255320
71216161303
oct313677400
9121506773
1053444352
1128193595
1215a94540
13b0c30a0
147152b3a
154a5a56c
hex32f7f00

53444352 has 144 divisors (see below), whose sum is σ = 157616928. Its totient is φ = 15974400.

The previous prime is 53444351. The next prime is 53444353. The reversal of 53444352 is 25344435.

It is an interprime number because it is at equal distance from previous prime (53444351) and next prime (53444353).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53444351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 529102 + ... + 529202.

It is an arithmetic number, because the mean of its divisors is an integer number (1094562).

Almost surely, 253444352 is an apocalyptic number.

53444352 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 53444352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78808464).

53444352 is an abundant number, since it is smaller than the sum of its proper divisors (104172576).

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

53444352 is a wasteful number, since it uses less digits than its factorization.

53444352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 172 counting only the distinct ones).

The product of its digits is 28800, while the sum is 30.

The square root of 53444352 is about 7310.5644104953. The cubic root of 53444352 is about 376.6754119497.

Adding to 53444352 its reverse (25344435), we get a palindrome (78788787).

The spelling of 53444352 in words is "fifty-three million, four hundred forty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 53 64 78 96 101 104 106 128 156 159 192 202 208 212 256 303 312 318 384 404 416 424 606 624 636 689 768 808 832 848 1212 1248 1272 1313 1378 1616 1664 1696 2067 2424 2496 2544 2626 2756 3232 3328 3392 3939 4134 4848 4992 5088 5252 5353 5512 6464 6784 7878 8268 9696 9984 10176 10504 10706 11024 12928 13568 15756 16059 16536 19392 20352 21008 21412 22048 25856 31512 32118 33072 38784 40704 42016 42824 44096 63024 64236 66144 69589 77568 84032 85648 88192 126048 128472 132288 139178 168064 171296 176384 208767 252096 256944 264576 278356 336128 342592 417534 504192 513888 529152 556712 685184 835068 1008384 1027776 1113424 1370368 1670136 2055552 2226848 3340272 4111104 4453696 6680544 8907392 13361088 17814784 26722176 53444352