Search a number
-
+
25898542040 = 23571931157037
BaseRepresentation
bin11000000111101011…
…000110001111011000
32110211220200020202202
4120013223012033120
5411020011321130
615521515345332
71604534655320
oct300753061730
973756606682
1025898542040
11aa90062a58
125029452248
13259973c3b7
141379844280
15a18a12145
hex607ac63d8

25898542040 has 128 divisors (see below), whose sum is σ = 72363110400. Its totient is φ = 8140746240.

The previous prime is 25898542031. The next prime is 25898542049. The reversal of 25898542040 is 4024589852.

It is an interprime number because it is at equal distance from previous prime (25898542031) and next prime (25898542049).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25898542049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86402 + ... + 243438.

It is an arithmetic number, because the mean of its divisors is an integer number (565336800).

Almost surely, 225898542040 is an apocalyptic number.

25898542040 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 25898542040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36181555200).

25898542040 is an abundant number, since it is smaller than the sum of its proper divisors (46464568360).

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

25898542040 is a wasteful number, since it uses less digits than its factorization.

25898542040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157105 (or 157101 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 47.

The spelling of 25898542040 in words is "twenty-five billion, eight hundred ninety-eight million, five hundred forty-two thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 31 35 38 40 56 62 70 76 95 124 133 140 152 155 190 217 248 266 280 310 380 434 532 589 620 665 760 868 1064 1085 1178 1240 1330 1736 2170 2356 2660 2945 4123 4340 4712 5320 5890 8246 8680 11780 16492 20615 23560 32984 41230 82460 157037 164920 314074 628148 785185 1099259 1256296 1570370 2198518 2983703 3140740 4397036 4868147 5496295 5967406 6281480 8794072 9736294 10992590 11934812 14918515 19472588 20885921 21985180 23869624 24340735 29837030 34077029 38945176 41771842 43970360 48681470 59674060 68154058 83543684 92494793 97362940 104429605 119348120 136308116 167087368 170385145 184989586 194725880 208859210 272616232 340770290 369979172 417718420 462473965 647463551 681540580 739958344 835436840 924947930 1294927102 1363081160 1849895860 2589854204 3237317755 3699791720 5179708408 6474635510 12949271020 25898542040