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53245600 = 25521931113
BaseRepresentation
bin1100101100011…
…1011010100000
310201012011020021
43023013122200
5102112324400
65141123224
71214402662
oct313073240
9121164207
1053245600
1128068231
12159b9514
13b053795
147100532
154a1b71a
hex32c76a0

53245600 has 144 divisors (see below), whose sum is σ = 142490880. Its totient is φ = 19353600.

The previous prime is 53245589. The next prime is 53245691. The reversal of 53245600 is 654235.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 471144 + ... + 471256.

It is an arithmetic number, because the mean of its divisors is an integer number (989520).

Almost surely, 253245600 is an apocalyptic number.

53245600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53245600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71245440).

53245600 is an abundant number, since it is smaller than the sum of its proper divisors (89245280).

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

53245600 is a wasteful number, since it uses less digits than its factorization.

53245600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 53245600 is about 7296.9582704028. The cubic root of 53245600 is about 376.2078977036.

Adding to 53245600 its reverse (654235), we get a palindrome (53899835).

The spelling of 53245600 in words is "fifty-three million, two hundred forty-five thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 31 32 38 40 50 62 76 80 95 100 113 124 152 155 160 190 200 226 248 304 310 380 400 452 475 496 565 589 608 620 760 775 800 904 950 992 1130 1178 1240 1520 1550 1808 1900 2147 2260 2356 2480 2825 2945 3040 3100 3503 3616 3800 4294 4520 4712 4960 5650 5890 6200 7006 7600 8588 9040 9424 10735 11300 11780 12400 14012 14725 15200 17176 17515 18080 18848 21470 22600 23560 24800 28024 29450 34352 35030 42940 45200 47120 53675 56048 58900 66557 68704 70060 85880 87575 90400 94240 107350 112096 117800 133114 140120 171760 175150 214700 235600 266228 280240 332785 343520 350300 429400 471200 532456 560480 665570 700600 858800 1064912 1331140 1401200 1663925 1717600 2129824 2662280 2802400 3327850 5324560 6655700 10649120 13311400 26622800 53245600