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53944520 = 23573741127
BaseRepresentation
bin1100110111001…
…0000011001000
310202111122222012
43031302003020
5102302211040
65204115052
71223343440
oct315620310
9122448865
1053944520
11284a5353
1216095a88
13b239946
147243120
154b08865
hex33720c8

53944520 has 128 divisors (see below), whose sum is σ = 147087360. Its totient is φ = 17418240.

The previous prime is 53944493. The next prime is 53944529. The reversal of 53944520 is 2544935.

53944520 = T464 + T465 + ... + T750.

It is a happy number.

It is a super-2 number, since 2×539445202 = 5820022476060800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (53944529) 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 31 ways as a sum of consecutive naturals, for example, 424697 + ... + 424823.

It is an arithmetic number, because the mean of its divisors is an integer number (1149120).

Almost surely, 253944520 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 53944520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73543680).

53944520 is an abundant number, since it is smaller than the sum of its proper divisors (93142840).

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

53944520 is a wasteful number, since it uses less digits than its factorization.

53944520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The square root of 53944520 is about 7344.6933223927. The cubic root of 53944520 is about 377.8468253902.

The spelling of 53944520 in words is "fifty-three million, nine hundred forty-four thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 37 40 41 56 70 74 82 127 140 148 164 185 205 254 259 280 287 296 328 370 410 508 518 574 635 740 820 889 1016 1036 1148 1270 1295 1435 1480 1517 1640 1778 2072 2296 2540 2590 2870 3034 3556 4445 4699 5080 5180 5207 5740 6068 7112 7585 8890 9398 10360 10414 10619 11480 12136 15170 17780 18796 20828 21238 23495 26035 30340 32893 35560 36449 37592 41656 42476 46990 52070 53095 60680 65786 72898 84952 93980 104140 106190 131572 145796 164465 182245 187960 192659 208280 212380 263144 291592 328930 364490 385318 424760 657860 728980 770636 963295 1315720 1348613 1457960 1541272 1926590 2697226 3853180 5394452 6743065 7706360 10788904 13486130 26972260 53944520