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53525248 = 287217251
BaseRepresentation
bin1100110000101…
…1101100000000
310201201100211121
43030023230000
5102200301443
65151122024
71216646200
oct314135400
9121640747
1053525248
1128239347
1215b13314
13b120b5a
147174400
154a744ed
hex330bb00

53525248 has 108 divisors (see below), whose sum is σ = 132120072. Its totient is φ = 21504000.

The previous prime is 53525221. The next prime is 53525257. The reversal of 53525248 is 84252535.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 213123 + ... + 213373.

It is an arithmetic number, because the mean of its divisors is an integer number (1223334).

Almost surely, 253525248 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 53525248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66060036).

53525248 is an abundant number, since it is smaller than the sum of its proper divisors (78594824).

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

53525248 is a wasteful number, since it uses less digits than its factorization.

53525248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 277 counting only the distinct ones).

The product of its digits is 48000, while the sum is 34.

The square root of 53525248 is about 7316.0951333344. The cubic root of 53525248 is about 376.8653676169.

It can be divided in two parts, 5 and 3525248, that added together give a palindrome (3525253).

The spelling of 53525248 in words is "fifty-three million, five hundred twenty-five thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 49 56 64 68 98 112 119 128 136 196 224 238 251 256 272 392 448 476 502 544 784 833 896 952 1004 1088 1568 1666 1757 1792 1904 2008 2176 3136 3332 3514 3808 4016 4267 4352 6272 6664 7028 7616 8032 8534 12299 12544 13328 14056 15232 16064 17068 24598 26656 28112 29869 30464 32128 34136 49196 53312 56224 59738 64256 68272 98392 106624 112448 119476 136544 196784 209083 213248 224896 238952 273088 393568 418166 449792 477904 546176 787136 836332 955808 1092352 1574272 1672664 1911616 3148544 3345328 3823232 6690656 7646464 13381312 26762624 53525248