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149333448 = 233113171257
BaseRepresentation
bin10001110011010…
…10010111001000
3101101222220222110
420321222113020
5301212132243
622452422320
73462212325
oct1071522710
9341886873
10149333448
1177327480
12420179a0
1324c276b4
1415b93b4c
15d19be33
hex8e6a5c8

149333448 has 128 divisors (see below), whose sum is σ = 427991040. Its totient is φ = 43008000.

The previous prime is 149333447. The next prime is 149333477. The reversal of 149333448 is 844333941.

It is not an unprimeable number, because it can be changed into a prime (149333447) 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, 580936 + ... + 581192.

It is an arithmetic number, because the mean of its divisors is an integer number (3343680).

Almost surely, 2149333448 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 149333448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213995520).

149333448 is an abundant number, since it is smaller than the sum of its proper divisors (278657592).

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

149333448 is a wasteful number, since it uses less digits than its factorization.

149333448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 375 counting only the distinct ones).

The product of its digits is 124416, while the sum is 39.

The square root of 149333448 is about 12220.2065448993. The cubic root of 149333448 is about 530.5410968460.

It can be divided in two parts, 14933 and 3448, that added together give a palindrome (18381).

The spelling of 149333448 in words is "one hundred forty-nine million, three hundred thirty-three thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 62 66 71 88 93 124 132 142 186 213 248 257 264 284 341 372 426 514 568 682 744 771 781 852 1023 1028 1364 1542 1562 1704 2046 2056 2201 2343 2728 2827 3084 3124 4092 4402 4686 5654 6168 6248 6603 7967 8184 8481 8804 9372 11308 13206 15934 16962 17608 18247 18744 22616 23901 24211 26412 31868 33924 36494 47802 48422 52824 54741 63736 67848 72633 72988 87637 95604 96844 109482 145266 145976 175274 191208 193688 200717 218964 262911 290532 350548 401434 437928 525822 565657 581064 602151 701096 802868 1051644 1131314 1204302 1605736 1696971 2103288 2262628 2408604 3393942 4525256 4817208 6222227 6787884 12444454 13575768 18666681 24888908 37333362 49777816 74666724 149333448