Search a number
-
+
125145552 = 24371919603
BaseRepresentation
bin1110111010110…
…01000111010000
322201111001102110
413131121013100
5224014124202
620230145320
73046501560
oct735310720
9281431373
10125145552
1164706784
1235ab2240
131cc0902c
1412898da0
15aec026c
hex77591d0

125145552 has 80 divisors (see below), whose sum is σ = 388943360. Its totient is φ = 33872256.

The previous prime is 125145539. The next prime is 125145557. The reversal of 125145552 is 255541521.

It is a super-2 number, since 2×1251455522 = 31322818370769408, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125145557) 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, 3418 + ... + 16185.

It is an arithmetic number, because the mean of its divisors is an integer number (4861792).

Almost surely, 2125145552 is an apocalyptic number.

125145552 is a gapful number since it is divisible by the number (12) 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 125145552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194471680).

125145552 is an abundant number, since it is smaller than the sum of its proper divisors (263797808).

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

125145552 is a wasteful number, since it uses less digits than its factorization.

125145552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19640 (or 19634 counting only the distinct ones).

The product of its digits is 10000, while the sum is 30.

The square root of 125145552 is about 11186.8472770482. The cubic root of 125145552 is about 500.1939940562.

The spelling of 125145552 in words is "one hundred twenty-five million, one hundred forty-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 266 304 336 399 456 532 798 912 1064 1596 2128 3192 6384 19603 39206 58809 78412 117618 137221 156824 235236 274442 313648 372457 411663 470472 548884 744914 823326 940944 1097768 1117371 1489828 1646652 2195536 2234742 2607199 2979656 3293304 4469484 5214398 5959312 6586608 7821597 8938968 10428796 15643194 17877936 20857592 31286388 41715184 62572776 125145552