Search a number
-
+
2525303040 = 28351350587
BaseRepresentation
bin1001011010000101…
…0001000100000000
320111222210200112020
42112201101010000
520132434144130
61054330001440
7116402502351
oct22641210400
96458720466
102525303040
111086516607
125a5876280
1331324b570
1419d559d28
15eba77e10
hex96851100

2525303040 has 144 divisors (see below), whose sum is σ = 8685757248. Its totient is φ = 621600768.

The previous prime is 2525303017. The next prime is 2525303047. The reversal of 2525303040 is 403035252.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2525303040.

It is not an unprimeable number, because it can be changed into a prime (2525303047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24627 + ... + 75213.

Almost surely, 22525303040 is an apocalyptic number.

2525303040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2525303040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4342878624).

2525303040 is an abundant number, since it is smaller than the sum of its proper divisors (6160454208).

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

2525303040 is a wasteful number, since it uses less digits than its factorization.

2525303040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50624 (or 50610 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 2525303040 is about 50252.3933758383. The cubic root of 2525303040 is about 1361.7723145095.

Adding to 2525303040 its reverse (403035252), we get a palindrome (2928338292).

The spelling of 2525303040 in words is "two billion, five hundred twenty-five million, three hundred three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 256 260 312 320 384 390 416 480 520 624 640 768 780 832 960 1040 1248 1280 1560 1664 1920 2080 2496 3120 3328 3840 4160 4992 6240 8320 9984 12480 16640 24960 49920 50587 101174 151761 202348 252935 303522 404696 505870 607044 657631 758805 809392 1011740 1214088 1315262 1517610 1618784 1972893 2023480 2428176 2630524 3035220 3237568 3288155 3945786 4046960 4856352 5261048 6070440 6475136 6576310 7891572 8093920 9712704 9864465 10522096 12140880 12950272 13152620 15783144 16187840 19425408 19728930 21044192 24281760 26305240 31566288 32375680 38850816 39457860 42088384 48563520 52610480 63132576 64751360 78915720 84176768 97127040 105220960 126265152 157831440 168353536 194254080 210441920 252530304 315662880 420883840 505060608 631325760 841767680 1262651520 2525303040