Search a number
-
+
53025040 = 24517127307
BaseRepresentation
bin1100101001000…
…1100100010000
310200202221200101
43022101210100
5102033300130
65132302144
71212463645
oct312214420
9120687611
1053025040
1127a27552
1215911954
13aca7283
147083dcc
1549c61ca
hex3291910

53025040 has 80 divisors (see below), whose sum is σ = 131991552. Its totient is φ = 19740672.

The previous prime is 53025031. The next prime is 53025053. The reversal of 53025040 is 4052035.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 53024999 and 53025017.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172567 + ... + 172873.

Almost surely, 253025040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53025040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65995776).

53025040 is an abundant number, since it is smaller than the sum of its proper divisors (78966512).

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

53025040 is a wasteful number, since it uses less digits than its factorization.

53025040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 19.

The square root of 53025040 is about 7281.8294404634. The cubic root of 53025040 is about 375.6877217030.

Adding to 53025040 its reverse (4052035), we get a palindrome (57077075).

The spelling of 53025040 in words is "fifty-three million, twenty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 127 136 170 254 272 307 340 508 614 635 680 1016 1228 1270 1360 1535 2032 2159 2456 2540 3070 4318 4912 5080 5219 6140 8636 10160 10438 10795 12280 17272 20876 21590 24560 26095 34544 38989 41752 43180 52190 77978 83504 86360 104380 155956 172720 194945 208760 311912 389890 417520 623824 662813 779780 1325626 1559560 2651252 3119120 3314065 5302504 6628130 10605008 13256260 26512520 53025040