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125421648 = 243111789157
BaseRepresentation
bin1110111100111…
…00100001010000
322202000002011020
413132130201100
5224101443043
620240115440
73052031532
oct736344120
9282002136
10125421648
1164885160
1236005b80
131cca48c1
141292b852
15b026e83
hex779c850

125421648 has 160 divisors (see below), whose sum is σ = 380868480. Its totient is φ = 35143680.

The previous prime is 125421643. The next prime is 125421661. The reversal of 125421648 is 846124521.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125421643) by changing a digit.

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, 798786 + ... + 798942.

It is an arithmetic number, because the mean of its divisors is an integer number (2380428).

Almost surely, 2125421648 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 125421648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190434240).

125421648 is an abundant number, since it is smaller than the sum of its proper divisors (255446832).

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

125421648 is a wasteful number, since it uses less digits than its factorization.

125421648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 279 counting only the distinct ones).

The product of its digits is 15360, while the sum is 33.

The square root of 125421648 is about 11199.1806843179. The cubic root of 125421648 is about 500.5615663836.

The spelling of 125421648 in words is "one hundred twenty-five million, four hundred twenty-one thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 33 34 44 48 51 66 68 88 89 102 132 136 157 176 178 187 204 264 267 272 314 356 374 408 471 528 534 561 628 712 748 816 942 979 1068 1122 1256 1424 1496 1513 1727 1884 1958 2136 2244 2512 2669 2937 2992 3026 3454 3768 3916 4272 4488 4539 5181 5338 5874 6052 6908 7536 7832 8007 8976 9078 10362 10676 11748 12104 13816 13973 15664 16014 16643 18156 20724 21352 23496 24208 27632 27946 29359 32028 33286 36312 41448 41919 42704 46992 49929 55892 58718 64056 66572 72624 82896 83838 88077 99858 111784 117436 128112 133144 153703 167676 176154 199716 223568 234872 237541 266288 307406 335352 352308 399432 461109 469744 475082 614812 670704 704616 712623 798864 922218 950164 1229624 1409232 1425246 1844436 1900328 2459248 2612951 2850492 3688872 3800656 5225902 5700984 7377744 7838853 10451804 11401968 15677706 20903608 31355412 41807216 62710824 125421648