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52695400 = 2352377121
BaseRepresentation
bin1100100100000…
…1000101101000
310200011012111111
43021001011220
5101442223100
65121240104
71206621622
oct311010550
9120135444
1052695400
112782191a
1215793034
13abc0214
146dd9c12
15495d6ba
hex3241168

52695400 has 48 divisors (see below), whose sum is σ = 125845740. Its totient is φ = 20505600.

The previous prime is 52695367. The next prime is 52695451. The reversal of 52695400 is 459625.

It can be written as a sum of positive squares in 6 ways, for example, as 14577124 + 38118276 = 3818^2 + 6174^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3840 + ... + 10960.

Almost surely, 252695400 is an apocalyptic number.

52695400 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 52695400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62922870).

52695400 is an abundant number, since it is smaller than the sum of its proper divisors (73150340).

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

52695400 is a wasteful number, since it uses less digits than its factorization.

52695400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7174 (or 7165 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 52695400 is about 7259.1597309882. The cubic root of 52695400 is about 374.9075920454.

The spelling of 52695400 in words is "fifty-two million, six hundred ninety-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 74 100 148 185 200 296 370 740 925 1480 1850 3700 7121 7400 14242 28484 35605 56968 71210 142420 178025 263477 284840 356050 526954 712100 1053908 1317385 1424200 2107816 2634770 5269540 6586925 10539080 13173850 26347700 52695400