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149831424 = 283353409
BaseRepresentation
bin10001110111000…
…11111100000000
3101102221020002000
420323203330000
5301324101144
622511224000
73466355211
oct1073437400
9342836060
10149831424
1177637626
1242218000
1325070262
1415c83408
15d249769
hex8ee3f00

149831424 has 144 divisors (see below), whose sum is σ = 452541600. Its totient is φ = 48881664.

The previous prime is 149831417. The next prime is 149831431. The reversal of 149831424 is 424138941.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (149831417) and next prime (149831431).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 366132 + ... + 366540.

It is an arithmetic number, because the mean of its divisors is an integer number (3142650).

Almost surely, 2149831424 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 149831424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226270800).

149831424 is an abundant number, since it is smaller than the sum of its proper divisors (302710176).

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

149831424 is an equidigital number, since it uses as much as digits as its factorization.

149831424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 467 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 149831424 is about 12240.5646928563. The cubic root of 149831424 is about 531.1301669461.

The spelling of 149831424 in words is "one hundred forty-nine million, eight hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 53 54 64 72 96 106 108 128 144 159 192 212 216 256 288 318 384 409 424 432 477 576 636 768 818 848 864 954 1152 1227 1272 1431 1636 1696 1728 1908 2304 2454 2544 2862 3272 3392 3456 3681 3816 4908 5088 5724 6544 6784 6912 7362 7632 9816 10176 11043 11448 13088 13568 14724 15264 19632 20352 21677 22086 22896 26176 29448 30528 39264 40704 43354 44172 45792 52352 58896 61056 65031 78528 86708 88344 91584 104704 117792 122112 130062 157056 173416 176688 183168 195093 235584 260124 314112 346832 353376 366336 390186 471168 520248 585279 693664 706752 780372 942336 1040496 1170558 1387328 1413504 1560744 2080992 2341116 2774656 2827008 3121488 4161984 4682232 5549312 6242976 8323968 9364464 12485952 16647936 18728928 24971904 37457856 49943808 74915712 149831424