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52124640 = 2535312113
BaseRepresentation
bin1100011011010…
…1101111100000
310122002012120020
43012311233200
5101320442030
65101113440
71202023611
oct306655740
9118065506
1052124640
1127472017
1215558880
13aa504a9
146ccbc08
154899510
hex31b5be0

52124640 has 144 divisors (see below), whose sum is σ = 171161424. Its totient is φ = 13332480.

The previous prime is 52124591. The next prime is 52124641. The reversal of 52124640 is 4642125.

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 52124640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52124641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 461224 + ... + 461336.

It is an arithmetic number, because the mean of its divisors is an integer number (1188621).

Almost surely, 252124640 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 52124640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85580712).

52124640 is an abundant number, since it is smaller than the sum of its proper divisors (119036784).

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

52124640 is a wasteful number, since it uses less digits than its factorization.

52124640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 52124640 is about 7219.7396074928. The cubic root of 52124640 is about 373.5490958008.

Adding to 52124640 its reverse (4642125), we get a palindrome (56766765).

The spelling of 52124640 in words is "fifty-two million, one hundred twenty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 80 93 96 113 120 124 155 160 186 226 240 248 310 339 372 452 465 480 496 565 620 678 744 904 930 961 992 1130 1240 1356 1488 1695 1808 1860 1922 2260 2480 2712 2883 2976 3390 3503 3616 3720 3844 4520 4805 4960 5424 5766 6780 7006 7440 7688 9040 9610 10509 10848 11532 13560 14012 14415 14880 15376 17515 18080 19220 21018 23064 27120 28024 28830 30752 35030 38440 42036 46128 52545 54240 56048 57660 70060 76880 84072 92256 105090 108593 112096 115320 140120 153760 168144 210180 217186 230640 280240 325779 336288 420360 434372 461280 542965 560480 651558 840720 868744 1085930 1303116 1628895 1681440 1737488 2171860 2606232 3257790 3474976 4343720 5212464 6515580 8687440 10424928 13031160 17374880 26062320 52124640