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52836480 = 273259173
BaseRepresentation
bin1100100110001…
…1100010000000
310200102101000200
43021203202000
5102011231410
65124245200
71211050134
oct311434200
9120371020
1052836480
1127908914
1215840800
13ac3c4b8
1470353c4
15498a3c0
hex3263880

52836480 has 96 divisors (see below), whose sum is σ = 182470860. Its totient is φ = 14088192.

The previous prime is 52836479. The next prime is 52836499. The reversal of 52836480 is 8463825.

52836480 is a `hidden beast` number, since 5 + 2 + 8 + 3 + 648 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 45481536 + 7354944 = 6744^2 + 2712^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1174 + ... + 10346.

Almost surely, 252836480 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 52836480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91235430).

52836480 is an abundant number, since it is smaller than the sum of its proper divisors (129634380).

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

52836480 is a wasteful number, since it uses less digits than its factorization.

52836480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9198 (or 9183 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 52836480 is about 7268.8706137886. The cubic root of 52836480 is about 375.2418706294.

The spelling of 52836480 in words is "fifty-two million, eight hundred thirty-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 9173 18346 27519 36692 45865 55038 73384 82557 91730 110076 137595 146768 165114 183460 220152 275190 293536 330228 366920 412785 440304 550380 587072 660456 733840 825570 880608 1100760 1174144 1320912 1467680 1651140 1761216 2201520 2641824 2935360 3302280 3522432 4403040 5283648 5870720 6604560 8806080 10567296 13209120 17612160 26418240 52836480