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53454480 = 2435713137
BaseRepresentation
bin1100101111101…
…0011010010000
310201120202202120
43023322122100
5102141020410
65145414240
71216232652
oct313723220
9121522676
1053454480
11281a0162
1215a9a380
13b0c7891
1471566d2
154a5d570
hex32fa690

53454480 has 80 divisors (see below), whose sum is σ = 168096384. Its totient is φ = 14049280.

The previous prime is 53454449. The next prime is 53454491. The reversal of 53454480 is 8445435.

53454480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15472 + ... + 18608.

Almost surely, 253454480 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 53454480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84048192).

53454480 is an abundant number, since it is smaller than the sum of its proper divisors (114641904).

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

53454480 is a wasteful number, since it uses less digits than its factorization.

53454480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3224 (or 3218 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The square root of 53454480 is about 7311.2570738554. The cubic root of 53454480 is about 376.6992044707.

The spelling of 53454480 in words is "fifty-three million, four hundred fifty-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 71 80 120 142 213 240 284 355 426 568 710 852 1065 1136 1420 1704 2130 2840 3137 3408 4260 5680 6274 8520 9411 12548 15685 17040 18822 25096 31370 37644 47055 50192 62740 75288 94110 125480 150576 188220 222727 250960 376440 445454 668181 752880 890908 1113635 1336362 1781816 2227270 2672724 3340905 3563632 4454540 5345448 6681810 8909080 10690896 13363620 17818160 26727240 53454480