Search a number
-
+
25488120 = 23357191597
BaseRepresentation
bin110000100111…
…0101011111000
31202221221010110
41201032223320
523011104440
62310144320
7426434250
oct141165370
952857113
1025488120
1113429669
1286520a0
135385438
143556960
152387080
hex184eaf8

25488120 has 128 divisors (see below), whose sum is σ = 92044800. Its totient is φ = 5515776.

The previous prime is 25488109. The next prime is 25488137. The reversal of 25488120 is 2188452.

It is a super-2 number, since 2×254881202 = 1299288522268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 15162 + ... + 16758.

It is an arithmetic number, because the mean of its divisors is an integer number (719100).

Almost surely, 225488120 is an apocalyptic number.

25488120 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 25488120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46022400).

25488120 is an abundant number, since it is smaller than the sum of its proper divisors (66556680).

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

25488120 is a wasteful number, since it uses less digits than its factorization.

25488120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1637 (or 1633 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 25488120 is about 5048.5760368643. The cubic root of 25488120 is about 294.2925497427.

The spelling of 25488120 in words is "twenty-five million, four hundred eighty-eight thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 19 20 21 24 28 30 35 38 40 42 56 57 60 70 76 84 95 105 114 120 133 140 152 168 190 210 228 266 280 285 380 399 420 456 532 570 665 760 798 840 1064 1140 1330 1596 1597 1995 2280 2660 3192 3194 3990 4791 5320 6388 7980 7985 9582 11179 12776 15960 15970 19164 22358 23955 30343 31940 33537 38328 44716 47910 55895 60686 63880 67074 89432 91029 95820 111790 121372 134148 151715 167685 182058 191640 212401 223580 242744 268296 303430 335370 364116 424802 447160 455145 606860 637203 670740 728232 849604 910290 1062005 1213720 1274406 1341480 1699208 1820580 2124010 2548812 3186015 3641160 4248020 5097624 6372030 8496040 12744060 25488120