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125433396 = 223211893559
BaseRepresentation
bin1110111100111…
…11011000110100
322202000200021100
413132133120310
5224102332041
620240250100
73052111014
oct736373064
9282020240
10125433396
1164892a70
1236010930
131ccaa05a
1412931c44
15b02a6b6
hex779f634

125433396 has 72 divisors (see below), whose sum is σ = 349876800. Its totient is φ = 37572480.

The previous prime is 125433377. The next prime is 125433397. The reversal of 125433396 is 693334521.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 125433396.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125433397) 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 23 ways as a sum of consecutive naturals, for example, 33465 + ... + 37023.

It is an arithmetic number, because the mean of its divisors is an integer number (4859400).

Almost surely, 2125433396 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 125433396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174938400).

125433396 is an abundant number, since it is smaller than the sum of its proper divisors (224443404).

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

125433396 is a wasteful number, since it uses less digits than its factorization.

125433396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3669 (or 3664 counting only the distinct ones).

The product of its digits is 58320, while the sum is 36.

The square root of 125433396 is about 11199.7051746910. The cubic root of 125433396 is about 500.5771947693.

The spelling of 125433396 in words is "one hundred twenty-five million, four hundred thirty-three thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 89 99 132 178 198 267 356 396 534 801 979 1068 1602 1958 2937 3204 3559 3916 5874 7118 8811 10677 11748 14236 17622 21354 32031 35244 39149 42708 64062 78298 117447 128124 156596 234894 316751 352341 469788 633502 704682 950253 1267004 1409364 1900506 2850759 3484261 3801012 5701518 6968522 10452783 11403036 13937044 20905566 31358349 41811132 62716698 125433396