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5003025520 = 245312278887
BaseRepresentation
bin1001010100011010…
…00001110001110000
3110220200002000210111
410222031001301300
540221233304040
62144240111104
7234660005143
oct45215016160
913820060714
105003025520
112138094139
12b77605494
1361967aa3c
1435664c05a
151e4352dea
hex12a341c70

5003025520 has 80 divisors (see below), whose sum is σ = 12061513728. Its totient is φ = 1927906560.

The previous prime is 5003025499. The next prime is 5003025539. The reversal of 5003025520 is 255203005.

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 = 5003025491 and 5003025500.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 558517 + ... + 567403.

Almost surely, 25003025520 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 5003025520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6030756864).

5003025520 is an abundant number, since it is smaller than the sum of its proper divisors (7058488208).

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

5003025520 is a wasteful number, since it uses less digits than its factorization.

5003025520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9158 (or 9152 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 22.

The square root of 5003025520 is about 70732.0685403728. The cubic root of 5003025520 is about 1710.3207815608.

Adding to 5003025520 its reverse (255203005), we get a palindrome (5258228525).

The spelling of 5003025520 in words is "five billion, three million, twenty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 227 248 310 454 496 620 908 1135 1240 1816 2270 2480 3632 4540 7037 8887 9080 14074 17774 18160 28148 35185 35548 44435 56296 70370 71096 88870 112592 140740 142192 177740 275497 281480 355480 550994 562960 710960 1101988 1377485 2017349 2203976 2754970 4034698 4407952 5509940 8069396 10086745 11019880 16138792 20173490 22039760 32277584 40346980 62537819 80693960 125075638 161387920 250151276 312689095 500302552 625378190 1000605104 1250756380 2501512760 5003025520