Search a number
-
+
52263240 = 23353779149
BaseRepresentation
bin1100011101011…
…1100101001000
310122100020200120
43013113211020
5101334410430
65104103240
71203141651
oct307274510
9118306616
1052263240
1127557167
1215604b20
13aa9b5c3
146d26528
1548c5610
hex31d7948

52263240 has 128 divisors (see below), whose sum is σ = 164160000. Its totient is φ = 13298688.

The previous prime is 52263229. The next prime is 52263251. The reversal of 52263240 is 4236225.

52263240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (52263229) and next prime (52263251).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 52263240.

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 31 ways as a sum of consecutive naturals, for example, 350686 + ... + 350834.

It is an arithmetic number, because the mean of its divisors is an integer number (1282500).

Almost surely, 252263240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52263240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82080000).

52263240 is an abundant number, since it is smaller than the sum of its proper divisors (111896760).

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

52263240 is a wasteful number, since it uses less digits than its factorization.

52263240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 52263240 is about 7229.3319193408. The cubic root of 52263240 is about 373.8798931820.

Adding to 52263240 its reverse (4236225), we get a palindrome (56499465).

The spelling of 52263240 in words is "fifty-two million, two hundred sixty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 79 111 120 148 149 158 185 222 237 296 298 316 370 395 444 447 474 555 596 632 740 745 790 888 894 948 1110 1185 1192 1480 1490 1580 1788 1896 2220 2235 2370 2923 2980 3160 3576 4440 4470 4740 5513 5846 5960 8769 8940 9480 11026 11692 11771 14615 16539 17538 17880 22052 23384 23542 27565 29230 33078 35076 35313 43845 44104 47084 55130 58460 58855 66156 70152 70626 82695 87690 94168 110260 116920 117710 132312 141252 165390 175380 176565 220520 235420 282504 330780 350760 353130 435527 470840 661560 706260 871054 1306581 1412520 1742108 2177635 2613162 3484216 4355270 5226324 6532905 8710540 10452648 13065810 17421080 26131620 52263240