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149285376 = 293310799
BaseRepresentation
bin10001110010111…
…10101000000000
3101101220111001000
420321132220000
5301204113001
622451412000
73461622222
oct1071365000
9341814030
10149285376
11772a4349
1241bb4000
1324c0b856
1415b80412
15d18ca86
hex8e5ea00

149285376 has 80 divisors (see below), whose sum is σ = 441936000. Its totient is φ = 49757184.

The previous prime is 149285371. The next prime is 149285393. The reversal of 149285376 is 673582941.

It is a super-2 number, since 2×1492853762 = 44572246974922752, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (149285371) 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 7 ways as a sum of consecutive naturals, for example, 8425 + ... + 19223.

It is an arithmetic number, because the mean of its divisors is an integer number (5524200).

Almost surely, 2149285376 is an apocalyptic number.

149285376 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 149285376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220968000).

149285376 is an abundant number, since it is smaller than the sum of its proper divisors (292650624).

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

149285376 is an equidigital number, since it uses as much as digits as its factorization.

149285376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10826 (or 10804 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 149285376 is about 12218.2394803834. The cubic root of 149285376 is about 530.4841618255.

It can be divided in two parts, 1492 and 85376, that added together give a palindrome (86868).

The spelling of 149285376 in words is "one hundred forty-nine million, two hundred eighty-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1152 1536 1728 2304 3456 4608 6912 10799 13824 21598 32397 43196 64794 86392 97191 129588 172784 194382 259176 291573 345568 388764 518352 583146 691136 777528 1036704 1166292 1382272 1555056 2073408 2332584 2764544 3110112 4146816 4665168 5529088 6220224 8293632 9330336 12440448 16587264 18660672 24880896 37321344 49761792 74642688 149285376