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52944192 = 263471459
BaseRepresentation
bin1100100111110…
…1110101000000
310200121211210000
43021331311000
5102023203232
65130440000
71212006150
oct311756500
9120554700
1052944192
1127981834
1215893000
13ac79532
147062760
1549ac27c
hex327dd40

52944192 has 140 divisors (see below), whose sum is σ = 179486560. Its totient is φ = 15116544.

The previous prime is 52944179. The next prime is 52944211. The reversal of 52944192 is 29144925.

52944192 is a `hidden beast` number, since 529 + 4 + 41 + 92 = 666.

52944192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 35559 + ... + 37017.

Almost surely, 252944192 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 52944192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89743280).

52944192 is an abundant number, since it is smaller than the sum of its proper divisors (126542368).

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

52944192 is a wasteful number, since it uses less digits than its factorization.

52944192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490 (or 1471 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 52944192 is about 7276.2759705773. The cubic root of 52944192 is about 375.4966858513.

The spelling of 52944192 in words is "fifty-two million, nine hundred forty-four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 144 162 168 189 192 216 224 252 288 324 336 378 432 448 504 567 576 648 672 756 864 1008 1134 1296 1344 1459 1512 1728 2016 2268 2592 2918 3024 4032 4377 4536 5184 5836 6048 8754 9072 10213 11672 12096 13131 17508 18144 20426 23344 26262 30639 35016 36288 39393 40852 46688 52524 61278 70032 78786 81704 91917 93376 105048 118179 122556 140064 157572 163408 183834 210096 236358 245112 275751 280128 315144 326816 367668 420192 472716 490224 551502 630288 653632 735336 827253 840384 945432 980448 1103004 1260576 1470672 1654506 1890864 1960896 2206008 2521152 2941344 3309012 3781728 4412016 5882688 6618024 7563456 8824032 13236048 17648064 26472096 52944192