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53488820 = 22571147739
BaseRepresentation
bin1100110000001…
…0110010110100
310201122111212102
43030002302310
5102143120240
65150241232
71216435040
oct314026264
9121574772
1053488820
1128213a40
1215ab6218
13b10a3b8
147165020
154a68815
hex3302cb4

53488820 has 96 divisors (see below), whose sum is σ = 143216640. Its totient is φ = 16295040.

The previous prime is 53488793. The next prime is 53488829. The reversal of 53488820 is 2888435.

It is a super-2 number, since 2×534888202 = 5722107729984800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53488829) 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, 72011 + ... + 72749.

It is an arithmetic number, because the mean of its divisors is an integer number (1491840).

Almost surely, 253488820 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 53488820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71608320).

53488820 is an abundant number, since it is smaller than the sum of its proper divisors (89727820).

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

53488820 is a wasteful number, since it uses less digits than its factorization.

53488820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 38.

The square root of 53488820 is about 7313.6051301667. The cubic root of 53488820 is about 376.7798530375.

The spelling of 53488820 in words is "fifty-three million, four hundred eighty-eight thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 47 55 70 77 94 110 140 154 188 220 235 308 329 385 470 517 658 739 770 940 1034 1316 1478 1540 1645 2068 2585 2956 3290 3619 3695 5170 5173 6580 7238 7390 8129 10340 10346 14476 14780 16258 18095 20692 25865 32516 34733 36190 40645 51730 56903 69466 72380 81290 103460 113806 138932 162580 173665 227612 243131 284515 347330 382063 486262 569030 694660 764126 972524 1138060 1215655 1528252 1910315 2431310 2674441 3820630 4862620 5348882 7641260 10697764 13372205 26744410 53488820