Search a number
-
+
125825024 = 2121317139
BaseRepresentation
bin1110111111111…
…11000000000000
322202202120111002
413133333000000
5224202400044
620252511132
73055331543
oct737770000
9282676432
10125825024
1165030226
123617b4a8
13200b63a0
14129d485a
15b0a674e
hex77ff000

125825024 has 104 divisors (see below), whose sum is σ = 288978480. Its totient is φ = 54263808.

The previous prime is 125824961. The next prime is 125825033. The reversal of 125825024 is 420528521.

It is a tau number, because it is divible by the number of its divisors (104).

It is a zygodrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 905147 + ... + 905285.

Almost surely, 2125825024 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 125825024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144489240).

125825024 is an abundant number, since it is smaller than the sum of its proper divisors (163153456).

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

125825024 is a wasteful number, since it uses less digits than its factorization.

125825024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 29.

The square root of 125825024 is about 11217.1754020342. The cubic root of 125825024 is about 501.0976206944.

The spelling of 125825024 in words is "one hundred twenty-five million, eight hundred twenty-five thousand, twenty-four".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 128 136 139 208 221 256 272 278 416 442 512 544 556 832 884 1024 1088 1112 1664 1768 1807 2048 2176 2224 2363 3328 3536 3614 4096 4352 4448 4726 6656 7072 7228 8704 8896 9452 13312 14144 14456 17408 17792 18904 26624 28288 28912 30719 34816 35584 37808 53248 56576 57824 61438 69632 71168 75616 113152 115648 122876 142336 151232 226304 231296 245752 284672 302464 452608 462592 491504 569344 604928 905216 925184 983008 1209856 1850368 1966016 2419712 3700736 3932032 4839424 7401472 7864064 9678848 15728128 31456256 62912512 125825024