Search a number
-
+
53003880 = 23325295077
BaseRepresentation
bin1100101000110…
…0011001101000
310200201212122200
43022030121220
5102032111010
65132020200
71212345156
oct312143150
9120655580
1053003880
1127a12666
1215901660
13ac9a757
14707a3d6
1549becc0
hex328c668

53003880 has 96 divisors (see below), whose sum is σ = 178237800. Its totient is φ = 13644288.

The previous prime is 53003879. The next prime is 53003887. The reversal of 53003880 is 8830035.

It can be written as a sum of positive squares in 4 ways, for example, as 51926436 + 1077444 = 7206^2 + 1038^2 .

It is a super-2 number, since 2×530038802 = 5618822590108800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (53003887) 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, 7902 + ... + 12978.

Almost surely, 253003880 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 53003880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89118900).

53003880 is an abundant number, since it is smaller than the sum of its proper divisors (125233920).

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

53003880 is a wasteful number, since it uses less digits than its factorization.

53003880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5123 (or 5116 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 53003880 is about 7280.3763638977. The cubic root of 53003880 is about 375.6377414807.

It can be divided in two parts, 5300 and 3880, that added together give a triangular number (9180 = T135).

The spelling of 53003880 in words is "fifty-three million, three thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 29 30 36 40 45 58 60 72 87 90 116 120 145 174 180 232 261 290 348 360 435 522 580 696 870 1044 1160 1305 1740 2088 2610 3480 5077 5220 10154 10440 15231 20308 25385 30462 40616 45693 50770 60924 76155 91386 101540 121848 147233 152310 182772 203080 228465 294466 304620 365544 441699 456930 588932 609240 736165 883398 913860 1177864 1325097 1472330 1766796 1827720 2208495 2650194 2944660 3533592 4416990 5300388 5889320 6625485 8833980 10600776 13250970 17667960 26501940 53003880