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53405625 = 354713313
BaseRepresentation
bin1100101110111…
…0011110111001
310201111021202010
43023232132321
5102132440000
65144400133
71215640350
oct313563671
9121437663
1053405625
1128167489
1215a76049
13b0ab580
147142997
154a4dd50
hex32ee7b9

53405625 has 80 divisors (see below), whose sum is σ = 109864832. Its totient is φ = 22464000.

The previous prime is 53405621. The next prime is 53405629. The reversal of 53405625 is 52650435.

It is an interprime number because it is at equal distance from previous prime (53405621) and next prime (53405629).

It is not a de Polignac number, because 53405625 - 22 = 53405621 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 53405592 and 53405601.

It is not an unprimeable number, because it can be changed into a prime (53405621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 170469 + ... + 170781.

Almost surely, 253405625 is an apocalyptic number.

It is an amenable number.

53405625 is an abundant number, since it is smaller than the sum of its proper divisors (56459207).

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

53405625 is a wasteful number, since it uses less digits than its factorization.

53405625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 53405625 is about 7307.9152293934. The cubic root of 53405625 is about 376.5844074248.

The spelling of 53405625 in words is "fifty-three million, four hundred five thousand, six hundred twenty-five".

Divisors: 1 3 5 7 13 15 21 25 35 39 65 75 91 105 125 175 195 273 313 325 375 455 525 625 875 939 975 1365 1565 1625 1875 2191 2275 2625 4069 4375 4695 4875 6573 6825 7825 8125 10955 11375 12207 13125 20345 23475 24375 28483 32865 34125 39125 54775 56875 61035 85449 101725 117375 142415 164325 170625 195625 273875 305175 427245 508625 586875 712075 821625 1369375 1525875 2136225 2543125 3560375 4108125 7629375 10681125 17801875 53405625