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149300256 = 25372171867
BaseRepresentation
bin10001110011000…
…10010000100000
3101101221020110010
420321202100200
5301210102011
622452004520
73462013500
oct1071422040
9341836403
10149300256
1177304546
1242000740
1324c15561
1415b85a00
15d1921a6
hex8e62420

149300256 has 144 divisors (see below), whose sum is σ = 482975136. Its totient is φ = 40126464.

The previous prime is 149300237. The next prime is 149300293. The reversal of 149300256 is 652003941.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79035 + ... + 80901.

It is an arithmetic number, because the mean of its divisors is an integer number (3353994).

Almost surely, 2149300256 is an apocalyptic number.

149300256 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 149300256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241487568).

149300256 is an abundant number, since it is smaller than the sum of its proper divisors (333674880).

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

149300256 is a wasteful number, since it uses less digits than its factorization.

149300256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1911 (or 1896 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 149300256 is about 12218.8483909082. The cubic root of 149300256 is about 530.5017865527.

The spelling of 149300256 in words is "one hundred forty-nine million, three hundred thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 49 51 56 68 84 96 98 102 112 119 136 147 168 196 204 224 238 272 294 336 357 392 408 476 544 588 672 714 784 816 833 952 1176 1428 1568 1632 1666 1867 1904 2352 2499 2856 3332 3734 3808 4704 4998 5601 5712 6664 7468 9996 11202 11424 13069 13328 14936 19992 22404 26138 26656 29872 31739 39207 39984 44808 52276 59744 63478 78414 79968 89616 91483 95217 104552 126956 156828 179232 182966 190434 209104 222173 253912 274449 313656 365932 380868 418208 444346 507824 548898 627312 666519 731864 761736 888692 1015648 1097796 1254624 1333038 1463728 1523472 1555211 1777384 2195592 2666076 2927456 3046944 3110422 3554768 4391184 4665633 5332152 6220844 7109536 8782368 9331266 10664304 12441688 18662532 21328608 24883376 37325064 49766752 74650128 149300256