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53401248 = 2533193253
BaseRepresentation
bin1100101110110…
…1011010100000
310201111001202000
43023231122200
5102132314443
65144324000
71215621525
oct313553240
9121431660
1053401248
112816416a
1215a73600
13b0a9594
14714114c
154a4c8d3
hex32ed6a0

53401248 has 96 divisors (see below), whose sum is σ = 164001600. Its totient is φ = 16858368.

The previous prime is 53401247. The next prime is 53401253. The reversal of 53401248 is 84210435.

53401248 is a `hidden beast` number, since 534 + 0 + 124 + 8 = 666.

53401248 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 Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (53401247) by changing a digit.

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, 14790 + ... + 18042.

It is an arithmetic number, because the mean of its divisors is an integer number (1708350).

Almost surely, 253401248 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 53401248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82000800).

53401248 is an abundant number, since it is smaller than the sum of its proper divisors (110600352).

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

53401248 is a wasteful number, since it uses less digits than its factorization.

53401248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3291 (or 3277 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 53401248 is about 7307.6157534452. The cubic root of 53401248 is about 376.5741191516.

The spelling of 53401248 in words is "fifty-three million, four hundred one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 96 108 114 144 152 171 216 228 288 304 342 432 456 513 608 684 864 912 1026 1368 1824 2052 2736 3253 4104 5472 6506 8208 9759 13012 16416 19518 26024 29277 39036 52048 58554 61807 78072 87831 104096 117108 123614 156144 175662 185421 234216 247228 312288 351324 370842 468432 494456 556263 702648 741684 936864 988912 1112526 1405296 1483368 1668789 1977824 2225052 2810592 2966736 3337578 4450104 5933472 6675156 8900208 13350312 17800416 26700624 53401248