Search a number
-
+
125262450 = 23452157197
BaseRepresentation
bin1110111011101…
…01101001110010
322201200222210000
413131311221302
5224031344300
620232450430
73050466435
oct735655162
9281628700
10125262450
1164786595
1235b49a16
131cc4a2c1
14128c981c
15aee4c00
hex7775a72

125262450 has 120 divisors (see below), whose sum is σ = 352038852. Its totient is φ = 33022080.

The previous prime is 125262377. The next prime is 125262451. The reversal of 125262450 is 54262521.

It can be written as a sum of positive squares in 6 ways, for example, as 71723961 + 53538489 = 8469^2 + 7317^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (125262451) 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 59 ways as a sum of consecutive naturals, for example, 635752 + ... + 635948.

Almost surely, 2125262450 is an apocalyptic number.

125262450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 125262450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176019426).

125262450 is an abundant number, since it is smaller than the sum of its proper divisors (226776402).

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

125262450 is a wasteful number, since it uses less digits than its factorization.

125262450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 125262450 is about 11192.0708539573. The cubic root of 125262450 is about 500.3496887119.

The spelling of 125262450 in words is "one hundred twenty-five million, two hundred sixty-two thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 135 150 157 162 197 225 270 314 394 405 450 471 591 675 785 810 942 985 1182 1350 1413 1570 1773 1970 2025 2355 2826 2955 3546 3925 4050 4239 4710 4925 5319 5910 7065 7850 8478 8865 9850 10638 11775 12717 14130 14775 15957 17730 21195 23550 25434 26595 29550 30929 31914 35325 42390 44325 53190 61858 63585 70650 79785 88650 92787 105975 127170 132975 154645 159570 185574 211950 265950 278361 309290 317925 398925 463935 556722 635850 773225 797850 835083 927870 1391805 1546450 1670166 2319675 2505249 2783610 4175415 4639350 5010498 6959025 8350830 12526245 13918050 20877075 25052490 41754150 62631225 125262450