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52211400 = 23352173503
BaseRepresentation
bin1100011100101…
…0111011001000
310122020121120120
43013022323020
5101331231100
65103023240
71202534553
oct307127310
9118217516
1052211400
112752121a
121559ab20
13aa80b27
146d1169a
1548b50a0
hex31caec8

52211400 has 96 divisors (see below), whose sum is σ = 163114560. Its totient is φ = 13815040.

The previous prime is 52211389. The next prime is 52211443. The reversal of 52211400 is 411225.

52211400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 52211400.

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, 103549 + ... + 104051.

It is an arithmetic number, because the mean of its divisors is an integer number (1699110).

Almost surely, 252211400 is an apocalyptic number.

52211400 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 52211400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81557280).

52211400 is an abundant number, since it is smaller than the sum of its proper divisors (110903160).

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

52211400 is a wasteful number, since it uses less digits than its factorization.

52211400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 52211400 is about 7225.7456362648. The cubic root of 52211400 is about 373.7562349120.

Adding to 52211400 its reverse (411225), we get a palindrome (52622625).

The spelling of 52211400 in words is "fifty-two million, two hundred eleven thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 173 200 300 346 503 519 600 692 865 1006 1038 1384 1509 1730 2012 2076 2515 2595 3018 3460 4024 4152 4325 5030 5190 6036 6920 7545 8650 10060 10380 12072 12575 12975 15090 17300 20120 20760 25150 25950 30180 34600 37725 50300 51900 60360 75450 87019 100600 103800 150900 174038 261057 301800 348076 435095 522114 696152 870190 1044228 1305285 1740380 2088456 2175475 2610570 3480760 4350950 5221140 6526425 8701900 10442280 13052850 17403800 26105700 52211400