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53148852 = 22331959439
BaseRepresentation
bin1100101010111…
…1110010110100
310201000020112000
43022233302310
5102101230402
65135055300
71213520631
oct312576264
9121006460
1053148852
1128001579
1215971530
13b01b733
1470b7188
1549ecc1c
hex32afcb4

53148852 has 96 divisors (see below), whose sum is σ = 147840000. Its totient is φ = 16461792.

The previous prime is 53148847. The next prime is 53148853. The reversal of 53148852 is 25884135.

It is a happy number.

53148852 is a `hidden beast` number, since 531 + 48 + 85 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53148853) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120849 + ... + 121287.

It is an arithmetic number, because the mean of its divisors is an integer number (1540000).

Almost surely, 253148852 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 53148852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73920000).

53148852 is an abundant number, since it is smaller than the sum of its proper divisors (94691148).

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

53148852 is a wasteful number, since it uses less digits than its factorization.

53148852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 522 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 53148852 is about 7290.3259186404. The cubic root of 53148852 is about 375.9799012193.

The spelling of 53148852 in words is "fifty-three million, one hundred forty-eight thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 59 76 108 114 118 171 177 228 236 342 354 439 513 531 684 708 878 1026 1062 1121 1317 1593 1756 2052 2124 2242 2634 3186 3363 3951 4484 5268 6372 6726 7902 8341 10089 11853 13452 15804 16682 20178 23706 25023 25901 30267 33364 40356 47412 50046 51802 60534 75069 77703 100092 103604 121068 150138 155406 225207 233109 300276 310812 450414 466218 492119 699327 900828 932436 984238 1398654 1476357 1968476 2797308 2952714 4429071 5905428 8858142 13287213 17716284 26574426 53148852