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52923150 = 23252753317
BaseRepresentation
bin1100100111100…
…0101100001110
310200120202220200
43021320230032
5102022020100
65130154330
71211560620
oct311705416
9120522820
1052923150
1127967a45
12158829a6
13ac6ca97
147058c10
1549a5e00
hex3278b0e

52923150 has 144 divisors (see below), whose sum is σ = 166087584. Its totient is φ = 11831040.

The previous prime is 52923139. The next prime is 52923197. The reversal of 52923150 is 5132925.

52923150 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 166792 + ... + 167108.

It is an arithmetic number, because the mean of its divisors is an integer number (1153386).

Almost surely, 252923150 is an apocalyptic number.

52923150 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 52923150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83043792).

52923150 is an abundant number, since it is smaller than the sum of its proper divisors (113164434).

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

52923150 is a wasteful number, since it uses less digits than its factorization.

52923150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 52923150 is about 7274.8298949185. The cubic root of 52923150 is about 375.4469337889.

The spelling of 52923150 in words is "fifty-two million, nine hundred twenty-three thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 50 53 63 70 75 90 105 106 126 150 159 175 210 225 265 315 317 318 350 371 450 477 525 530 630 634 742 795 951 954 1050 1113 1325 1575 1585 1590 1855 1902 2219 2226 2385 2650 2853 3150 3170 3339 3710 3975 4438 4755 4770 5565 5706 6657 6678 7925 7950 9275 9510 11095 11130 11925 13314 14265 15850 16695 16801 18550 19971 22190 23775 23850 27825 28530 33285 33390 33602 39942 47550 50403 55475 55650 66570 71325 83475 84005 99855 100806 110950 117607 142650 151209 166425 166950 168010 199710 235214 252015 302418 332850 352821 420025 499275 504030 588035 705642 756045 840050 998550 1058463 1176070 1260075 1512090 1764105 2116926 2520150 2940175 3528210 3780225 5292315 5880350 7560450 8820525 10584630 17641050 26461575 52923150