Search a number
-
+
150938256 = 24373143337
BaseRepresentation
bin10001111111100…
…10001010010000
3101112000110100210
420333302022100
5302120011011
622551044120
73511645140
oct1077621220
9345013323
10150938256
1178223167
1242670640
1325369ca1
1416090920
15d3b76a6
hex8ff2290

150938256 has 160 divisors (see below), whose sum is σ = 472096768. Its totient is φ = 40642560.

The previous prime is 150938237. The next prime is 150938267. The reversal of 150938256 is 652839051.

It is an unprimeable number.

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, 447720 + ... + 448056.

Almost surely, 2150938256 is an apocalyptic number.

150938256 is a gapful number since it is divisible by the number (16) 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 150938256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236048384).

150938256 is an abundant number, since it is smaller than the sum of its proper divisors (321158512).

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

150938256 is a wasteful number, since it uses less digits than its factorization.

150938256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The square root of 150938256 is about 12285.6931428390. The cubic root of 150938256 is about 532.4348113900.

The spelling of 150938256 in words is "one hundred fifty million, nine hundred thirty-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 43 48 56 62 84 86 93 112 124 129 168 172 186 217 248 258 301 336 337 344 372 434 496 516 602 651 674 688 744 868 903 1011 1032 1204 1302 1333 1348 1488 1736 1806 2022 2064 2359 2408 2604 2666 2696 3472 3612 3999 4044 4718 4816 5208 5332 5392 7077 7224 7998 8088 9331 9436 10416 10447 10664 14154 14448 14491 15996 16176 18662 18872 20894 21328 27993 28308 28982 31341 31992 37324 37744 41788 43473 55986 56616 57964 62682 63984 73129 74648 83576 86946 101437 111972 113232 115928 125364 146258 149296 167152 173892 202874 219387 223944 231856 250728 292516 304311 347784 405748 438774 447888 449221 501456 585032 608622 695568 811496 877548 898442 1170064 1217244 1347663 1622992 1755096 1796884 2434488 2695326 3144547 3510192 3593768 4868976 5390652 6289094 7187536 9433641 10781304 12578188 18867282 21562608 25156376 37734564 50312752 75469128 150938256