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53454048 = 25337101149
BaseRepresentation
bin1100101111101…
…0010011100000
310201120202011120
43023322103200
5102141012143
65145412240
71216231464
oct313722340
9121522146
1053454048
112819a8aa
1215a9a080
13b0c761b
1471564a4
154a5d383
hex32fa4e0

53454048 has 96 divisors (see below), whose sum is σ = 146512800. Its totient is φ = 17049600.

The previous prime is 53454029. The next prime is 53454053. The reversal of 53454048 is 84045435.

53454048 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 (96).

It is a congruent number.

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, 358678 + ... + 358826.

It is an arithmetic number, because the mean of its divisors is an integer number (1526175).

Almost surely, 253454048 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 53454048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73256400).

53454048 is an abundant number, since it is smaller than the sum of its proper divisors (93058752).

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

53454048 is a wasteful number, since it uses less digits than its factorization.

53454048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 292 counting only the distinct ones).

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

The square root of 53454048 is about 7311.2275303125. The cubic root of 53454048 is about 376.6981896852.

The spelling of 53454048 in words is "fifty-three million, four hundred fifty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 101 111 148 149 202 222 296 298 303 404 444 447 592 596 606 808 888 894 1184 1192 1212 1616 1776 1788 2384 2424 3232 3552 3576 3737 4768 4848 5513 7152 7474 9696 11026 11211 14304 14948 15049 16539 22052 22422 29896 30098 33078 44104 44844 45147 59792 60196 66156 88208 89688 90294 119584 120392 132312 176416 179376 180588 240784 264624 358752 361176 481568 529248 556813 722352 1113626 1444704 1670439 2227252 3340878 4454504 6681756 8909008 13363512 17818016 26727024 53454048