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53385480 = 2334516477
BaseRepresentation
bin1100101110100…
…1100100001000
310201110021010000
43023221210020
5102131313410
65144123000
71215524541
oct313514410
9121407100
1053385480
1128153335
1215a66460
13b0a2355
1471394c8
154a47dc0
hex32e9908

53385480 has 80 divisors (see below), whose sum is σ = 179445420. Its totient is φ = 14235264.

The previous prime is 53385463. The next prime is 53385481. The reversal of 53385480 is 8458335.

53385480 is a `hidden beast` number, since 533 + 85 + 48 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 52099524 + 1285956 = 7218^2 + 1134^2 .

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

It is not an unprimeable number, because it can be changed into a prime (53385481) 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 19 ways as a sum of consecutive naturals, for example, 4999 + ... + 11478.

Almost surely, 253385480 is an apocalyptic number.

It is an amenable number.

53385480 is an abundant number, since it is smaller than the sum of its proper divisors (126059940).

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

53385480 is a wasteful number, since it uses less digits than its factorization.

53385480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16500 (or 16487 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 53385480 is about 7306.5367993325. The cubic root of 53385480 is about 376.5370513210.

The spelling of 53385480 in words is "fifty-three million, three hundred eighty-five thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 16477 32954 49431 65908 82385 98862 131816 148293 164770 197724 247155 296586 329540 395448 444879 494310 593172 659080 741465 889758 988620 1186344 1334637 1482930 1779516 1977240 2224395 2669274 2965860 3559032 4448790 5338548 5931720 6673185 8897580 10677096 13346370 17795160 26692740 53385480