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52353540 = 22345171901
BaseRepresentation
bin1100011110110…
…1101000000100
310122111211120000
43013231220010
5101400303130
65110041300
71203666141
oct307555004
9118454500
1052353540
1127608a98
1215649230
13ab00735
146d4b3c8
1548e2260
hex31eda04

52353540 has 120 divisors (see below), whose sum is σ = 173987352. Its totient is φ = 13132800.

The previous prime is 52353529. The next prime is 52353577. The reversal of 52353540 is 4535325.

It can be written as a sum of positive squares in 4 ways, for example, as 2566404 + 49787136 = 1602^2 + 7056^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 26590 + ... + 28490.

Almost surely, 252353540 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 52353540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86993676).

52353540 is an abundant number, since it is smaller than the sum of its proper divisors (121633812).

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

52353540 is a wasteful number, since it uses less digits than its factorization.

52353540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1939 (or 1928 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

The square root of 52353540 is about 7235.5746143620. The cubic root of 52353540 is about 374.0950981635.

Adding to 52353540 its reverse (4535325), we get a palindrome (56888865).

The spelling of 52353540 in words is "fifty-two million, three hundred fifty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 81 85 90 102 108 135 153 162 170 180 204 255 270 306 324 340 405 459 510 540 612 765 810 918 1020 1377 1530 1620 1836 1901 2295 2754 3060 3802 4590 5508 5703 6885 7604 9180 9505 11406 13770 17109 19010 22812 27540 28515 32317 34218 38020 51327 57030 64634 68436 85545 96951 102654 114060 129268 153981 161585 171090 193902 205308 256635 290853 307962 323170 342180 387804 484755 513270 581706 615924 646340 769905 872559 969510 1026540 1163412 1454265 1539810 1745118 1939020 2617677 2908530 3079620 3490236 4362795 5235354 5817060 8725590 10470708 13088385 17451180 26176770 52353540