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52121520 = 24325116581
BaseRepresentation
bin1100011011010…
…0111110110000
310122002001021200
43012310332300
5101320342040
65101051200
71202011533
oct306647660
9118061250
1052121520
112746a740
1215556b00
13aa4bc49
146ccaa1a
154898630
hex31b4fb0

52121520 has 120 divisors (see below), whose sum is σ = 190983312. Its totient is φ = 12633600.

The previous prime is 52121479. The next prime is 52121521. The reversal of 52121520 is 2512125.

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

It is a super-2 number, since 2×521215202 = 5433305694220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 52121493 and 52121502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52121521) 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, 4630 + ... + 11210.

Almost surely, 252121520 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 52121520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95491656).

52121520 is an abundant number, since it is smaller than the sum of its proper divisors (138861792).

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

52121520 is a wasteful number, since it uses less digits than its factorization.

52121520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6611 (or 6602 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 52121520 is about 7219.5235299845. The cubic root of 52121520 is about 373.5416425347.

Adding to 52121520 its reverse (2512125), we get a palindrome (54633645).

The spelling of 52121520 in words is "fifty-two million, one hundred twenty-one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 48 55 60 66 72 80 88 90 99 110 120 132 144 165 176 180 198 220 240 264 330 360 396 440 495 528 660 720 792 880 990 1320 1584 1980 2640 3960 6581 7920 13162 19743 26324 32905 39486 52648 59229 65810 72391 78972 98715 105296 118458 131620 144782 157944 197430 217173 236916 263240 289564 296145 315888 361955 394860 434346 473832 526480 579128 592290 651519 723910 789720 868692 947664 1085865 1158256 1184580 1303038 1447820 1579440 1737384 2171730 2369160 2606076 2895640 3257595 3474768 4343460 4738320 5212152 5791280 6515190 8686920 10424304 13030380 17373840 26060760 52121520