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150412824 = 233223611489
BaseRepresentation
bin10001111011100…
…01111000011000
3101111000202121100
420331301320120
5302001202244
622531511400
73504326232
oct1075617030
9344022540
10150412824
11779a4421
1242458560
1325214a93
1415d95252
15d311b69
hex8f71e18

150412824 has 96 divisors (see below), whose sum is σ = 432338400. Its totient is φ = 47139840.

The previous prime is 150412819. The next prime is 150412841. The reversal of 150412824 is 428214051.

150412824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100272 + ... + 101760.

It is an arithmetic number, because the mean of its divisors is an integer number (4503525).

Almost surely, 2150412824 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 150412824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216169200).

150412824 is an abundant number, since it is smaller than the sum of its proper divisors (281925576).

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

150412824 is a wasteful number, since it uses less digits than its factorization.

150412824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1585 (or 1578 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 150412824 is about 12264.2906032106. The cubic root of 150412824 is about 531.8162725092.

Adding to 150412824 its reverse (428214051), we get a palindrome (578626875).

The spelling of 150412824 in words is "one hundred fifty million, four hundred twelve thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 61 69 72 92 122 138 183 184 207 244 276 366 414 488 549 552 732 828 1098 1403 1464 1489 1656 2196 2806 2978 4209 4392 4467 5612 5956 8418 8934 11224 11912 12627 13401 16836 17868 25254 26802 33672 34247 35736 50508 53604 68494 90829 101016 102741 107208 136988 181658 205482 272487 273976 308223 363316 410964 544974 616446 726632 817461 821928 1089948 1232892 1634922 2089067 2179896 2465784 3269844 4178134 6267201 6539688 8356268 12534402 16712536 18801603 25068804 37603206 50137608 75206412 150412824