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52548480 = 273353041
BaseRepresentation
bin1100100001110…
…1001110000000
310122212201222000
43020131032000
5101423022410
65114144000
71205440365
oct310351600
9118781860
1052548480
11277314a6
1215722000
13ab6b39a
146d9c46c
15492edc0
hex321d380

52548480 has 128 divisors (see below), whose sum is σ = 186170400. Its totient is φ = 14008320.

The previous prime is 52548443. The next prime is 52548481. The reversal of 52548480 is 8484525.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×525484802 = 5522685500620800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52548481) 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, 15760 + ... + 18800.

Almost surely, 252548480 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 52548480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93085200).

52548480 is an abundant number, since it is smaller than the sum of its proper divisors (133621920).

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

52548480 is a wasteful number, since it uses less digits than its factorization.

52548480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3069 (or 3051 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 52548480 is about 7249.0330389646. The cubic root of 52548480 is about 374.5588412140.

The spelling of 52548480 in words is "fifty-two million, five hundred forty-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 270 288 320 360 384 432 480 540 576 640 720 864 960 1080 1152 1440 1728 1920 2160 2880 3041 3456 4320 5760 6082 8640 9123 12164 15205 17280 18246 24328 27369 30410 36492 45615 48656 54738 60820 72984 82107 91230 97312 109476 121640 136845 145968 164214 182460 194624 218952 243280 273690 291936 328428 364920 389248 410535 437904 486560 547380 583872 656856 729840 821070 875808 973120 1094760 1167744 1313712 1459680 1642140 1751616 1946240 2189520 2627424 2919360 3284280 3503232 4379040 5254848 5838720 6568560 8758080 10509696 13137120 17516160 26274240 52548480