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52545000 = 2335431113
BaseRepresentation
bin1100100001110…
…0010111101000
310122212120012010
43020130113220
5101422420000
65114115520
71205424264
oct310342750
9118776163
1052545000
1127729922
121571bba0
13ab69921
146d9b0a4
15492dd50
hex321c5e8

52545000 has 160 divisors (see below), whose sum is σ = 170945280. Its totient is φ = 13440000.

The previous prime is 52544971. The next prime is 52545007. The reversal of 52545000 is 54525.

It is a super-3 number, since 3×525450003 (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (52545007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 464944 + ... + 465056.

It is an arithmetic number, because the mean of its divisors is an integer number (1068408).

Almost surely, 252545000 is an apocalyptic number.

52545000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

52545000 is the 3875-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52545000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85472640).

52545000 is an abundant number, since it is smaller than the sum of its proper divisors (118400280).

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

52545000 is a wasteful number, since it uses less digits than its factorization.

52545000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 21.

The square root of 52545000 is about 7248.7930029764. The cubic root of 52545000 is about 374.5505726999.

Adding to 52545000 its reverse (54525), we get a palindrome (52599525).

The spelling of 52545000 in words is "fifty-two million, five hundred forty-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 31 40 50 60 62 75 93 100 113 120 124 125 150 155 186 200 226 248 250 300 310 339 372 375 452 465 500 565 600 620 625 678 744 750 775 904 930 1000 1130 1240 1250 1356 1500 1550 1695 1860 1875 2260 2325 2500 2712 2825 3000 3100 3390 3503 3720 3750 3875 4520 4650 5000 5650 6200 6780 7006 7500 7750 8475 9300 10509 11300 11625 13560 14012 14125 15000 15500 16950 17515 18600 19375 21018 22600 23250 28024 28250 31000 33900 35030 38750 42036 42375 46500 52545 56500 58125 67800 70060 70625 77500 84072 84750 87575 93000 105090 113000 116250 140120 141250 155000 169500 175150 210180 211875 232500 262725 282500 339000 350300 420360 423750 437875 465000 525450 565000 700600 847500 875750 1050900 1313625 1695000 1751500 2101800 2189375 2627250 3503000 4378750 5254500 6568125 8757500 10509000 13136250 17515000 26272500 52545000