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53326080 = 283351543
BaseRepresentation
bin1100101101101…
…1000100000000
310201100020122000
43023123010000
5102122413310
65142544000
71215156423
oct313330400
9121306560
1053326080
1128112745
1215a38000
13b0812c2
1471219ba
154a354c0
hex32db100

53326080 has 144 divisors (see below), whose sum is σ = 189356160. Its totient is φ = 14211072.

The previous prime is 53326079. The next prime is 53326193. The reversal of 53326080 is 8062335.

53326080 is a `hidden beast` number, since 53 + 3 + 2 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33789 + ... + 35331.

Almost surely, 253326080 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 53326080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94678080).

53326080 is an abundant number, since it is smaller than the sum of its proper divisors (136030080).

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

53326080 is a wasteful number, since it uses less digits than its factorization.

53326080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1573 (or 1553 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 53326080 is about 7302.4708147311. The cubic root of 53326080 is about 376.3973466588.

The spelling of 53326080 in words is "fifty-three million, three hundred twenty-six thousand, 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 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 360 384 432 480 540 576 640 720 768 864 960 1080 1152 1280 1440 1543 1728 1920 2160 2304 2880 3086 3456 3840 4320 4629 5760 6172 6912 7715 8640 9258 11520 12344 13887 15430 17280 18516 23145 24688 27774 30860 34560 37032 41661 46290 49376 55548 61720 69435 74064 83322 92580 98752 111096 123440 138870 148128 166644 185160 197504 208305 222192 246880 277740 296256 333288 370320 395008 416610 444384 493760 555480 592512 666576 740640 833220 888768 987520 1110960 1185024 1333152 1481280 1666440 1777536 1975040 2221920 2666304 2962560 3332880 3555072 4443840 5332608 5925120 6665760 8887680 10665216 13331520 17775360 26663040 53326080