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52235000 = 235431337
BaseRepresentation
bin1100011101000…
…0101011111000
310122021210221122
43013100223320
5101333010000
65103324412
71202663426
oct307205370
9118253848
1052235000
1127537a24
12155b0708
13aa8b7ac
146d1a116
1548bc085
hex31d0af8

52235000 has 80 divisors (see below), whose sum is σ = 126709440. Its totient is φ = 20160000.

The previous prime is 52234991. The next prime is 52235011. The reversal of 52235000 is 53225.

52235000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 52235000.

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 154832 + ... + 155168.

It is an arithmetic number, because the mean of its divisors is an integer number (1583868).

Almost surely, 252235000 is an apocalyptic number.

52235000 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 52235000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63354720).

52235000 is an abundant number, since it is smaller than the sum of its proper divisors (74474440).

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

52235000 is a wasteful number, since it uses less digits than its factorization.

52235000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 17.

The square root of 52235000 is about 7227.3785012271. The cubic root of 52235000 is about 373.8125401025.

Adding to 52235000 its reverse (53225), we get a palindrome (52288225).

The spelling of 52235000 in words is "fifty-two million, two hundred thirty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 125 155 200 248 250 310 337 500 620 625 674 775 1000 1240 1250 1348 1550 1685 2500 2696 3100 3370 3875 5000 6200 6740 7750 8425 10447 13480 15500 16850 19375 20894 31000 33700 38750 41788 42125 52235 67400 77500 83576 84250 104470 155000 168500 208940 210625 261175 337000 417880 421250 522350 842500 1044700 1305875 1685000 2089400 2611750 5223500 6529375 10447000 13058750 26117500 52235000