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53118252 = 223211314327
BaseRepresentation
bin1100101010100…
…0010100101100
310200221200112200
43022220110230
5102044241002
65134301500
71213332465
oct312502454
9120850480
1053118252
1127a90590
1215957890
13b00a825
1470a9d6c
1549e3b1c
hex32a852c

53118252 has 72 divisors (see below), whose sum is σ = 151237632. Its totient is φ = 15573600.

The previous prime is 53118239. The next prime is 53118253. The reversal of 53118252 is 25281135.

It is a happy number.

53118252 is a `hidden beast` number, since 531 + 1 + 82 + 52 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (53118253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10113 + ... + 14439.

Almost surely, 253118252 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 53118252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75618816).

53118252 is an abundant number, since it is smaller than the sum of its proper divisors (98119380).

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

53118252 is a wasteful number, since it uses less digits than its factorization.

53118252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4379 (or 4374 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 53118252 is about 7288.2269448749. The cubic root of 53118252 is about 375.9077316226.

Adding to 53118252 its reverse (25281135), we get a palindrome (78399387).

The spelling of 53118252 in words is "fifty-three million, one hundred eighteen thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 31 33 36 44 62 66 93 99 124 132 186 198 279 341 372 396 558 682 1023 1116 1364 2046 3069 4092 4327 6138 8654 12276 12981 17308 25962 38943 47597 51924 77886 95194 134137 142791 155772 190388 268274 285582 402411 428373 536548 571164 804822 856746 1207233 1475507 1609644 1713492 2414466 2951014 4426521 4828932 5902028 8853042 13279563 17706084 26559126 53118252