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53100450 = 232521329313
BaseRepresentation
bin1100101010001…
…1111110100010
310200220210010100
43022203332202
5102043203300
65134043230
71213226544
oct312437642
9120823110
1053100450
1127a79177
1215949516
13b0026b0
1470a3694
1549dd700
hex32a3fa2

53100450 has 144 divisors (see below), whose sum is σ = 159442920. Its totient is φ = 12579840.

The previous prime is 53100449. The next prime is 53100461. The reversal of 53100450 is 5400135.

It can be written as a sum of positive squares in 12 ways, for example, as 4198401 + 48902049 = 2049^2 + 6993^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 169494 + ... + 169806.

Almost surely, 253100450 is an apocalyptic number.

53100450 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 53100450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79721460).

53100450 is an abundant number, since it is smaller than the sum of its proper divisors (106342470).

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

53100450 is a wasteful number, since it uses less digits than its factorization.

53100450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 53100450 is about 7287.0055578406. The cubic root of 53100450 is about 375.8657331449.

Adding to 53100450 its reverse (5400135), we get a palindrome (58500585).

The spelling of 53100450 in words is "fifty-three million, one hundred thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 29 30 39 45 50 58 65 75 78 87 90 117 130 145 150 174 195 225 234 261 290 313 325 377 390 435 450 522 585 626 650 725 754 870 939 975 1131 1170 1305 1450 1565 1878 1885 1950 2175 2262 2610 2817 2925 3130 3393 3770 4069 4350 4695 5634 5655 5850 6525 6786 7825 8138 9077 9390 9425 11310 12207 13050 14085 15650 16965 18154 18850 20345 23475 24414 27231 28170 28275 33930 36621 40690 45385 46950 54462 56550 61035 70425 73242 81693 84825 90770 101725 118001 122070 136155 140850 163386 169650 183105 203450 226925 236002 272310 305175 354003 366210 408465 453850 590005 610350 680775 708006 816930 915525 1062009 1180010 1361550 1770015 1831050 2042325 2124018 2950025 3540030 4084650 5310045 5900050 8850075 10620090 17700150 26550225 53100450