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52345400 = 2352793313
BaseRepresentation
bin1100011110101…
…1101000111000
310122111102101112
43013223220320
5101400023100
65105535452
71203633332
oct307535070
9118442345
1052345400
1127602968
1215644588
13aac9b13
146d48452
1548deb35
hex31eba38

52345400 has 48 divisors (see below), whose sum is σ = 123280800. Its totient is φ = 20666880.

The previous prime is 52345393. The next prime is 52345409. The reversal of 52345400 is 454325.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52345409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14144 + ... + 17456.

It is an arithmetic number, because the mean of its divisors is an integer number (2568350).

Almost surely, 252345400 is an apocalyptic number.

52345400 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 52345400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61640400).

52345400 is an abundant number, since it is smaller than the sum of its proper divisors (70935400).

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

52345400 is a wasteful number, since it uses less digits than its factorization.

52345400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3408 (or 3399 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 23.

The square root of 52345400 is about 7235.0120939775. The cubic root of 52345400 is about 374.0757088861.

Adding to 52345400 its reverse (454325), we get a palindrome (52799725).

The spelling of 52345400 in words is "fifty-two million, three hundred forty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 79 100 158 200 316 395 632 790 1580 1975 3160 3313 3950 6626 7900 13252 15800 16565 26504 33130 66260 82825 132520 165650 261727 331300 523454 662600 1046908 1308635 2093816 2617270 5234540 6543175 10469080 13086350 26172700 52345400