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53552560 = 2452941563
BaseRepresentation
bin1100110001001…
…0010110110000
310201202202022011
43030102112300
5102202140220
65151452304
71220121625
oct314222660
9121682264
1053552560
1128257916
1215b27094
13b130409
14718034c
154a7c65a
hex33125b0

53552560 has 80 divisors (see below), whose sum is σ = 132179040. Its totient is φ = 20142080.

The previous prime is 53552549. The next prime is 53552561. The reversal of 53552560 is 6525535.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (53552561) 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 15 ways as a sum of consecutive naturals, for example, 94839 + ... + 95401.

It is an arithmetic number, because the mean of its divisors is an integer number (1652238).

Almost surely, 253552560 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 53552560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66089520).

53552560 is an abundant number, since it is smaller than the sum of its proper divisors (78626480).

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

53552560 is a wasteful number, since it uses less digits than its factorization.

53552560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 31.

The square root of 53552560 is about 7317.9614647797. The cubic root of 53552560 is about 376.9294569772.

The spelling of 53552560 in words is "fifty-three million, five hundred fifty-two thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 29 40 41 58 80 82 116 145 164 205 232 290 328 410 464 563 580 656 820 1126 1160 1189 1640 2252 2320 2378 2815 3280 4504 4756 5630 5945 9008 9512 11260 11890 16327 19024 22520 23083 23780 32654 45040 46166 47560 65308 81635 92332 95120 115415 130616 163270 184664 230830 261232 326540 369328 461660 653080 669407 923320 1306160 1338814 1846640 2677628 3347035 5355256 6694070 10710512 13388140 26776280 53552560