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149010048 = 27321121069
BaseRepresentation
bin10001110000110…
…11011010000000
3101101101111100200
420320123122000
5301121310143
622441445200
73456364425
oct1070333200
9341344320
10149010048
1177126500
1241aa0800
1324b43435
1415b0bd4c
15d1361d3
hex8e1b680

149010048 has 144 divisors (see below), whose sum is σ = 471757650. Its totient is φ = 45112320.

The previous prime is 149010041. The next prime is 149010053. The reversal of 149010048 is 840010941.

It can be written as a sum of positive squares in only one way, i.e., 128867904 + 20142144 = 11352^2 + 4488^2 .

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

It is not an unprimeable number, because it can be changed into a prime (149010041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 138858 + ... + 139926.

Almost surely, 2149010048 is an apocalyptic number.

149010048 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 149010048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235878825).

149010048 is an abundant number, since it is smaller than the sum of its proper divisors (322747602).

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

149010048 is a wasteful number, since it uses less digits than its factorization.

149010048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 149010048 is about 12206.9671909119. The cubic root of 149010048 is about 530.1578359863.

Adding to 149010048 its reverse (840010941), we get a palindrome (989020989).

The spelling of 149010048 in words is "one hundred forty-nine million, ten thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 121 128 132 144 176 192 198 242 264 288 352 363 384 396 484 528 576 704 726 792 968 1056 1069 1089 1152 1408 1452 1584 1936 2112 2138 2178 2904 3168 3207 3872 4224 4276 4356 5808 6336 6414 7744 8552 8712 9621 11616 11759 12672 12828 15488 17104 17424 19242 23232 23518 25656 34208 34848 35277 38484 46464 47036 51312 68416 69696 70554 76968 94072 102624 105831 129349 136832 139392 141108 153936 188144 205248 211662 258698 282216 307872 376288 388047 410496 423324 517396 564432 615744 752576 776094 846648 1034792 1128864 1164141 1231488 1505152 1552188 1693296 2069584 2257728 2328282 3104376 3386592 4139168 4515456 4656564 6208752 6773184 8278336 9313128 12417504 13546368 16556672 18626256 24835008 37252512 49670016 74505024 149010048