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124428528 = 24337231789
BaseRepresentation
bin1110110101010…
…10000011110000
322200010121212000
413122222003300
5223323203103
620202534000
73040424250
oct732520360
9280117760
10124428528
1164266aa4
1235807300
131ca17863
141274d960
15adccaa3
hex76aa0f0

124428528 has 160 divisors (see below), whose sum is σ = 426163200. Its totient is φ = 33986304.

The previous prime is 124428509. The next prime is 124428529. The reversal of 124428528 is 825824421.

124428528 is a `hidden beast` number, since 124 + 4 + 2 + 8 + 528 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 124428492 and 124428501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124428529) 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, 68658 + ... + 70446.

It is an arithmetic number, because the mean of its divisors is an integer number (2663520).

Almost surely, 2124428528 is an apocalyptic number.

124428528 is a gapful number since it is divisible by the number (18) 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 124428528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213081600).

124428528 is an abundant number, since it is smaller than the sum of its proper divisors (301734672).

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

124428528 is a wasteful number, since it uses less digits than its factorization.

124428528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1836 (or 1824 counting only the distinct ones).

The product of its digits is 40960, while the sum is 36.

The square root of 124428528 is about 11154.7536055262. The cubic root of 124428528 is about 499.2368732009.

The spelling of 124428528 in words is "one hundred twenty-four million, four hundred twenty-eight thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 27 28 36 42 46 48 54 56 63 69 72 84 92 108 112 126 138 144 161 168 184 189 207 216 252 276 322 336 368 378 414 432 483 504 552 621 644 756 828 966 1008 1104 1242 1288 1449 1512 1656 1789 1932 2484 2576 2898 3024 3312 3578 3864 4347 4968 5367 5796 7156 7728 8694 9936 10734 11592 12523 14312 16101 17388 21468 23184 25046 28624 32202 34776 37569 41147 42936 48303 50092 64404 69552 75138 82294 85872 96606 100184 112707 123441 128808 150276 164588 193212 200368 225414 246882 257616 288029 300552 329176 338121 370323 386424 450828 493764 576058 601104 658352 676242 740646 772848 864087 901656 987528 1110969 1152116 1352484 1481292 1728174 1803312 1975056 2221938 2304232 2592261 2704968 2962584 3456348 4443876 4608464 5184522 5409936 5925168 6912696 7776783 8887752 10369044 13825392 15553566 17775504 20738088 31107132 41476176 62214264 124428528