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53365248 = 293237313
BaseRepresentation
bin1100101110010…
…0101000000000
310201102020100200
43023210220000
5102130141443
65143445200
71215411546
oct313445000
9121366320
1053365248
112813a112
1215a56800
13b096091
147131d96
154a41dd3
hex32e4a00

53365248 has 120 divisors (see below), whose sum is σ = 158683668. Its totient is φ = 17252352.

The previous prime is 53365237. The next prime is 53365253. The reversal of 53365248 is 84256335.

It is a happy number.

53365248 is a `hidden beast` number, since 53 + 365 + 248 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 52533504 + 831744 = 7248^2 + 912^2 .

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

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, 170340 + ... + 170652.

Almost surely, 253365248 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 53365248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79341834).

53365248 is an abundant number, since it is smaller than the sum of its proper divisors (105318420).

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

53365248 is a wasteful number, since it uses less digits than its factorization.

53365248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 355 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 53365248 is about 7305.1521544729. The cubic root of 53365248 is about 376.4894787090.

The spelling of 53365248 in words is "fifty-three million, three hundred sixty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 128 144 148 192 222 256 288 296 313 333 384 444 512 576 592 626 666 768 888 939 1152 1184 1252 1332 1536 1776 1878 2304 2368 2504 2664 2817 3552 3756 4608 4736 5008 5328 5634 7104 7512 9472 10016 10656 11268 11581 14208 15024 18944 20032 21312 22536 23162 28416 30048 34743 40064 42624 45072 46324 56832 60096 69486 80128 85248 90144 92648 104229 120192 138972 160256 170496 180288 185296 208458 240384 277944 360576 370592 416916 480768 555888 721152 741184 833832 1111776 1442304 1482368 1667664 2223552 2964736 3335328 4447104 5929472 6670656 8894208 13341312 17788416 26682624 53365248