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2502050420 = 225416150021
BaseRepresentation
bin1001010100100010…
…0100001001110100
320110101001022221002
42111020210021310
520111011103140
61052135342432
7116001035432
oct22510441164
96411038832
102502050420
111074384571
12599b21a18
1330b49980c
1419a425d52
15e99d3415
hex95224274

2502050420 has 48 divisors (see below), whose sum is σ = 5470806096. Its totient is φ = 960384000.

The previous prime is 2502050401. The next prime is 2502050459. The reversal of 2502050420 is 240502052.

It can be written as a sum of positive squares in 8 ways, for example, as 699708304 + 1802342116 = 26452^2 + 42454^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2502050392 and 2502050401.

It is a congruent number.

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, 25010 + ... + 75030.

It is an arithmetic number, because the mean of its divisors is an integer number (113975127).

Almost surely, 22502050420 is an apocalyptic number.

2502050420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is a pronic number, being equal to 50020×50021.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2502050420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2735403048).

2502050420 is an abundant number, since it is smaller than the sum of its proper divisors (2968755676).

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

2502050420 is a wasteful number, since it uses less digits than its factorization.

2502050420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50132 (or 50130 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 2502050420 is about 50020.4999975010. The cubic root of 2502050420 is about 1357.5797533148.

Adding to 2502050420 its reverse (240502052), we get a palindrome (2742552472).

The spelling of 2502050420 in words is "two billion, five hundred two million, fifty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 41 61 82 122 164 205 244 305 410 610 820 1220 2501 5002 10004 12505 25010 50020 50021 100042 200084 250105 500210 1000420 2050861 3051281 4101722 6102562 8203444 10254305 12205124 15256405 20508610 30512810 41017220 61025620 125102521 250205042 500410084 625512605 1251025210 2502050420