Search a number
-
+
2500250004 = 223474632381
BaseRepresentation
bin1001010100000110…
…1100100110010100
320110020122212020000
42111001230212110
520110031000004
61052033011300
7115646526420
oct22501544624
96406585200
102500250004
11107336491a
125993b3b30
1330acb9195
1419a0b7b80
15e9779c39
hex9506c994

2500250004 has 120 divisors (see below), whose sum is σ = 7489160448. Its totient is φ = 712514880.

The previous prime is 2500250003. The next prime is 2500250009. The reversal of 2500250004 is 4000520052.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2500250003) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 1048894 + ... + 1051274.

Almost surely, 22500250004 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 2500250004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3744580224).

2500250004 is an abundant number, since it is smaller than the sum of its proper divisors (4988910444).

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

2500250004 is a wasteful number, since it uses less digits than its factorization.

2500250004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2867 (or 2856 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 2500250004 is about 50002.4999775011. The cubic root of 2500250004 is about 1357.2540478069.

2500250004 divided by its sum of digits (18) gives a triangular number (138902778 = T16667).

Adding to 2500250004 its reverse (4000520052), we get a palindrome (6500770056).

The spelling of 2500250004 in words is "two billion, five hundred million, two hundred fifty thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 463 567 756 926 1134 1389 1852 2268 2381 2778 3241 4167 4762 5556 6482 7143 8334 9524 9723 12501 12964 14286 16667 16668 19446 21429 25002 28572 29169 33334 37503 38892 42858 50001 50004 58338 64287 66668 75006 85716 87507 100002 116676 128574 150003 150012 175014 192861 200004 257148 262521 300006 350028 385722 450009 525042 600012 771444 900018 1050084 1102403 1350027 1800036 2204806 2700054 3307209 4409612 5400108 6614418 7716821 9921627 13228836 15433642 19843254 23150463 29764881 30867284 39686508 46300926 59529762 69451389 89294643 92601852 119059524 138902778 178589286 208354167 277805556 357178572 416708334 625062501 833416668 1250125002 2500250004