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52142700 = 22352179971
BaseRepresentation
bin1100011011101…
…0001001101100
310122010010100010
43012322021230
5101322031300
65101333220
71202130351
oct306721154
9118103303
1052142700
1127484645
1215567210
13aa5878c
146cd4628
15489ea50
hex31ba26c

52142700 has 72 divisors (see below), whose sum is σ = 151865280. Its totient is φ = 13812800.

The previous prime is 52142687. The next prime is 52142711. The reversal of 52142700 is 724125.

52142700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×521427002 = 5437722326580000, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 53215 + ... + 54185.

It is an arithmetic number, because the mean of its divisors is an integer number (2109240).

Almost surely, 252142700 is an apocalyptic number.

52142700 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 52142700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75932640).

52142700 is an abundant number, since it is smaller than the sum of its proper divisors (99722580).

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

52142700 is a wasteful number, since it uses less digits than its factorization.

52142700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 52142700 is about 7220.9902368027. The cubic root of 52142700 is about 373.5922329024.

Adding to 52142700 its reverse (724125), we get a palindrome (52866825).

The spelling of 52142700 in words is "fifty-two million, one hundred forty-two thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 179 300 358 537 716 895 971 1074 1790 1942 2148 2685 2913 3580 3884 4475 4855 5370 5826 8950 9710 10740 11652 13425 14565 17900 19420 24275 26850 29130 48550 53700 58260 72825 97100 145650 173809 291300 347618 521427 695236 869045 1042854 1738090 2085708 2607135 3476180 4345225 5214270 8690450 10428540 13035675 17380900 26071350 52142700