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149313216 = 26313163367
BaseRepresentation
bin10001110011001…
…01011011000000
3101101221220020010
420321211123000
5301211010331
622452144520
73462066333
oct1071453300
9341856203
10149313216
1177313258
1242008140
1324c1b420
1415b8a61a
15d195e46
hex8e656c0

149313216 has 112 divisors (see below), whose sum is σ = 429223424. Its totient is φ = 45536256.

The previous prime is 149313211. The next prime is 149313223. The reversal of 149313216 is 612313941.

It is not an unprimeable number, because it can be changed into a prime (149313211) 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, 406665 + ... + 407031.

It is an arithmetic number, because the mean of its divisors is an integer number (3832352).

Almost surely, 2149313216 is an apocalyptic number.

149313216 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 149313216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214611712).

149313216 is an abundant number, since it is smaller than the sum of its proper divisors (279910208).

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

149313216 is a wasteful number, since it uses less digits than its factorization.

149313216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 548 counting only the distinct ones).

The product of its digits is 3888, while the sum is 30.

The square root of 149313216 is about 12219.3787076103. The cubic root of 149313216 is about 530.5171361674.

The spelling of 149313216 in words is "one hundred forty-nine million, three hundred thirteen thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 163 192 208 312 326 367 416 489 624 652 734 832 978 1101 1248 1304 1468 1956 2119 2202 2496 2608 2936 3912 4238 4404 4771 5216 5872 6357 7824 8476 8808 9542 10432 11744 12714 14313 15648 16952 17616 19084 23488 25428 28626 31296 33904 35232 38168 50856 57252 59821 67808 70464 76336 101712 114504 119642 135616 152672 179463 203424 229008 239284 305344 358926 406848 458016 478568 717852 777673 916032 957136 1435704 1555346 1914272 2333019 2871408 3110692 3828544 4666038 5742816 6221384 9332076 11485632 12442768 18664152 24885536 37328304 49771072 74656608 149313216