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53023600 = 2452729653
BaseRepresentation
bin1100101001000…
…1001101110000
310200202212201001
43022101031300
5102033223400
65132251344
71212456520
oct312211560
9120685631
1053023600
1127a26463
1215910b54
13aca6716
147083680
1549c5a6a
hex3291370

53023600 has 120 divisors (see below), whose sum is σ = 150838560. Its totient is φ = 17525760.

The previous prime is 53023573. The next prime is 53023603. The reversal of 53023600 is 632035.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53023603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80874 + ... + 81526.

It is an arithmetic number, because the mean of its divisors is an integer number (1256988).

Almost surely, 253023600 is an apocalyptic number.

53023600 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 53023600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75419280).

53023600 is an abundant number, since it is smaller than the sum of its proper divisors (97814960).

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

53023600 is a wasteful number, since it uses less digits than its factorization.

53023600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 19.

The square root of 53023600 is about 7281.7305635405. The cubic root of 53023600 is about 375.6843208241.

Adding to 53023600 its reverse (632035), we get a palindrome (53655635).

The spelling of 53023600 in words is "fifty-three million, twenty-three thousand, six hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 29 35 40 50 56 58 70 80 100 112 116 140 145 175 200 203 232 280 290 350 400 406 464 560 580 653 700 725 812 1015 1160 1306 1400 1450 1624 2030 2320 2612 2800 2900 3248 3265 4060 4571 5075 5224 5800 6530 8120 9142 10150 10448 11600 13060 16240 16325 18284 18937 20300 22855 26120 32650 36568 37874 40600 45710 52240 65300 73136 75748 81200 91420 94685 114275 130600 132559 151496 182840 189370 228550 261200 265118 302992 365680 378740 457100 473425 530236 662795 757480 914200 946850 1060472 1325590 1514960 1828400 1893700 2120944 2651180 3313975 3787400 5302360 6627950 7574800 10604720 13255900 26511800 53023600