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52155400 = 235211151157
BaseRepresentation
bin1100011011110…
…1010000001000
310122010202202111
43012331100020
5101322433100
65101512104
71202212363
oct306752010
9118122674
1052155400
1127493140
1215572634
13aa614ab
146cd90da
1548a36ba
hex31bd408

52155400 has 96 divisors (see below), whose sum is σ = 134009280. Its totient is φ = 18720000.

The previous prime is 52155377. The next prime is 52155401. The reversal of 52155400 is 455125.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (52155401) 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, 332122 + ... + 332278.

It is an arithmetic number, because the mean of its divisors is an integer number (1395930).

Almost surely, 252155400 is an apocalyptic number.

52155400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52155400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67004640).

52155400 is an abundant number, since it is smaller than the sum of its proper divisors (81853880).

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

52155400 is a wasteful number, since it uses less digits than its factorization.

52155400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 22.

The square root of 52155400 is about 7221.8695640395. The cubic root of 52155400 is about 373.6225614444.

The spelling of 52155400 in words is "fifty-two million, one hundred fifty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 151 157 200 220 275 302 314 440 550 604 628 755 785 1100 1208 1256 1510 1570 1661 1727 2200 3020 3140 3322 3454 3775 3925 6040 6280 6644 6908 7550 7850 8305 8635 13288 13816 15100 15700 16610 17270 23707 30200 31400 33220 34540 41525 43175 47414 66440 69080 83050 86350 94828 118535 166100 172700 189656 237070 260777 332200 345400 474140 521554 592675 948280 1043108 1185350 1303885 2086216 2370700 2607770 4741400 5215540 6519425 10431080 13038850 26077700 52155400