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149417352 = 23337175813
BaseRepresentation
bin10001110011111…
…10110110001000
3101102011012002000
420321332312020
5301222323402
622454311000
73463012050
oct1071766610
9342135060
10149417352
1177384517
1242058460
1324c56946
1415bb6560
15d1b6c1c
hex8e7ed88

149417352 has 128 divisors (see below), whose sum is σ = 502329600. Its totient is φ = 40172544.

The previous prime is 149417351. The next prime is 149417377. The reversal of 149417352 is 253714941.

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

It is not an unprimeable number, because it can be changed into a prime (149417351) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22798 + ... + 28610.

It is an arithmetic number, because the mean of its divisors is an integer number (3924450).

Almost surely, 2149417352 is an apocalyptic number.

149417352 is a gapful number since it is divisible by the number (12) 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 149417352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251164800).

149417352 is an abundant number, since it is smaller than the sum of its proper divisors (352912248).

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

149417352 is a wasteful number, since it uses less digits than its factorization.

149417352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5852 (or 5842 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 149417352 is about 12223.6390653520. The cubic root of 149417352 is about 530.6404409346.

It can be divided in two parts, 149417 and 352, that added together give a square (149769 = 3872).

The spelling of 149417352 in words is "one hundred forty-nine million, four hundred seventeen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 27 28 34 36 42 51 54 56 63 68 72 84 102 108 119 126 136 153 168 189 204 216 238 252 306 357 378 408 459 476 504 612 714 756 918 952 1071 1224 1428 1512 1836 2142 2856 3213 3672 4284 5813 6426 8568 11626 12852 17439 23252 25704 34878 40691 46504 52317 69756 81382 98821 104634 122073 139512 156951 162764 197642 209268 244146 296463 313902 325528 366219 395284 418536 488292 592926 627804 691747 732438 790568 889389 976584 1098657 1185852 1255608 1383494 1464876 1778778 2075241 2197314 2371704 2668167 2766988 2929752 3557556 4150482 4394628 5336334 5533976 6225723 7115112 8300964 8789256 10672668 12451446 16601928 18677169 21345336 24902892 37354338 49805784 74708676 149417352