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149382912 = 283737751
BaseRepresentation
bin10001110011101…
…10011100000000
3101102002102211110
420321312130000
5301220223122
622453443320
73462506460
oct1071663400
9342072743
10149382912
1177360658
1242040540
1324c44073
1415ba7ba0
15d1ab90c
hex8e76700

149382912 has 144 divisors (see below), whose sum is σ = 467274752. Its totient is φ = 41472000.

The previous prime is 149382911. The next prime is 149382913. The reversal of 149382912 is 219283941.

It is an interprime number because it is at equal distance from previous prime (149382911) and next prime (149382913).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149382911) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198537 + ... + 199287.

Almost surely, 2149382912 is an apocalyptic number.

149382912 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 149382912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233637376).

149382912 is an abundant number, since it is smaller than the sum of its proper divisors (317891840).

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

149382912 is an equidigital number, since it uses as much as digits as its factorization.

149382912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814 (or 800 counting only the distinct ones).

The product of its digits is 31104, while the sum is 39.

The square root of 149382912 is about 12222.2302383812. The cubic root of 149382912 is about 530.5996677561.

The spelling of 149382912 in words is "one hundred forty-nine million, three hundred eighty-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 56 64 74 84 96 111 112 128 148 168 192 222 224 256 259 296 336 384 444 448 518 592 672 751 768 777 888 896 1036 1184 1344 1502 1554 1776 1792 2072 2253 2368 2688 3004 3108 3552 4144 4506 4736 5257 5376 6008 6216 7104 8288 9012 9472 10514 12016 12432 14208 15771 16576 18024 21028 24032 24864 27787 28416 31542 33152 36048 42056 48064 49728 55574 63084 66304 72096 83361 84112 96128 99456 111148 126168 144192 166722 168224 192256 194509 198912 222296 252336 288384 333444 336448 389018 444592 504672 576768 583527 666888 672896 778036 889184 1009344 1167054 1333776 1345792 1556072 1778368 2018688 2334108 2667552 3112144 3556736 4037376 4668216 5335104 6224288 7113472 9336432 10670208 12448576 18672864 21340416 24897152 37345728 49794304 74691456 149382912