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53625306 = 237371367
BaseRepresentation
bin1100110010010…
…0000111011010
310201220110002110
43030210013122
5102212002211
65153213150
71220544000
oct314440732
9121813073
1053625306
11282a7539
1215b611b6
13b157567
14719ca70
154a93ea6
hex33241da

53625306 has 64 divisors (see below), whose sum is σ = 127180800. Its totient is φ = 15064560.

The previous prime is 53625281. The next prime is 53625311. The reversal of 53625306 is 60352635.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145935 + ... + 146301.

It is an arithmetic number, because the mean of its divisors is an integer number (1987200).

Almost surely, 253625306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53625306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63590400).

53625306 is an abundant number, since it is smaller than the sum of its proper divisors (73555494).

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

53625306 is a wasteful number, since it uses less digits than its factorization.

53625306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 30.

The square root of 53625306 is about 7322.9301512441. The cubic root of 53625306 is about 377.1000538872.

The spelling of 53625306 in words is "fifty-three million, six hundred twenty-five thousand, three hundred six".

Divisors: 1 2 3 6 7 14 21 42 49 71 98 142 147 213 294 343 367 426 497 686 734 994 1029 1101 1491 2058 2202 2569 2982 3479 5138 6958 7707 10437 15414 17983 20874 24353 26057 35966 48706 52114 53949 73059 78171 107898 125881 146118 156342 182399 251762 364798 377643 547197 755286 1094394 1276793 2553586 3830379 7660758 8937551 17875102 26812653 53625306