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52345700 = 225211232069
BaseRepresentation
bin1100011110101…
…1101101100100
310122111102210122
43013223231210
5101400030300
65105541112
71203634241
oct307535544
9118442718
1052345700
1127603110
1215644798
13aac9cb4
146d485c8
1548dec85
hex31ebb64

52345700 has 72 divisors (see below), whose sum is σ = 129366720. Its totient is φ = 18198400.

The previous prime is 52345697. The next prime is 52345721. The reversal of 52345700 is 754325.

It is a self number, because there is not a number n which added to its sum of digits gives 52345700.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24266 + ... + 26334.

It is an arithmetic number, because the mean of its divisors is an integer number (1796760).

Almost surely, 252345700 is an apocalyptic number.

52345700 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 52345700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64683360).

52345700 is an abundant number, since it is smaller than the sum of its proper divisors (77021020).

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

52345700 is a wasteful number, since it uses less digits than its factorization.

52345700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2117 (or 2110 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 26.

The square root of 52345700 is about 7235.0328264632. The cubic root of 52345700 is about 374.0764235143.

The spelling of 52345700 in words is "fifty-two million, three hundred forty-five thousand, seven hundred".

Divisors: 1 2 4 5 10 11 20 22 23 25 44 46 50 55 92 100 110 115 220 230 253 275 460 506 550 575 1012 1100 1150 1265 2069 2300 2530 4138 5060 6325 8276 10345 12650 20690 22759 25300 41380 45518 47587 51725 91036 95174 103450 113795 190348 206900 227590 237935 455180 475870 523457 568975 951740 1046914 1137950 1189675 2093828 2275900 2379350 2617285 4758700 5234570 10469140 13086425 26172850 52345700