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52262640 = 24325292503
BaseRepresentation
bin1100011101011…
…1011011110000
310122100012212100
43013113123300
5101334401030
65104100400
71203140133
oct307273360
9118305770
1052262640
1127556771
1215604700
13aa9b251
146d2621a
1548c5360
hex31d76f0

52262640 has 120 divisors (see below), whose sum is σ = 181640160. Its totient is φ = 13450752.

The previous prime is 52262633. The next prime is 52262657. The reversal of 52262640 is 4626225.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

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, 19629 + ... + 22131.

It is an arithmetic number, because the mean of its divisors is an integer number (1513668).

Almost surely, 252262640 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 52262640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90820080).

52262640 is an abundant number, since it is smaller than the sum of its proper divisors (129377520).

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

52262640 is a wasteful number, since it uses less digits than its factorization.

52262640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2551 (or 2542 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 52262640 is about 7229.2904216112. The cubic root of 52262640 is about 373.8784624198.

Adding to 52262640 its reverse (4626225), we get a palindrome (56888865).

The spelling of 52262640 in words is "fifty-two million, two hundred sixty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 29 30 36 40 45 48 58 60 72 80 87 90 116 120 144 145 174 180 232 240 261 290 348 360 435 464 522 580 696 720 870 1044 1160 1305 1392 1740 2088 2320 2503 2610 3480 4176 5006 5220 6960 7509 10012 10440 12515 15018 20024 20880 22527 25030 30036 37545 40048 45054 50060 60072 72587 75090 90108 100120 112635 120144 145174 150180 180216 200240 217761 225270 290348 300360 360432 362935 435522 450540 580696 600720 653283 725870 871044 901080 1088805 1161392 1306566 1451740 1742088 1802160 2177610 2613132 2903480 3266415 3484176 4355220 5226264 5806960 6532830 8710440 10452528 13065660 17420880 26131320 52262640