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149096448 = 211328089
BaseRepresentation
bin10001110001100…
…00100000000000
3101101112212212200
420320300200000
5301132041243
622443353200
73460204344
oct1070604000
9341485780
10149096448
1177185406
1241b22800
1324b73867
1415b31624
15d151ad3
hex8e30800

149096448 has 72 divisors (see below), whose sum is σ = 430671150. Its totient is φ = 49692672.

The previous prime is 149096429. The next prime is 149096461. The reversal of 149096448 is 844690941.

It can be written as a sum of positive squares in only one way, i.e., 148644864 + 451584 = 12192^2 + 672^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14388 + ... + 22476.

Almost surely, 2149096448 is an apocalyptic number.

149096448 is a gapful number since it is divisible by the number (18) 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 149096448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215335575).

149096448 is an abundant number, since it is smaller than the sum of its proper divisors (281574702).

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

149096448 is an equidigital number, since it uses as much as digits as its factorization.

149096448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8117 (or 8094 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 149096448 is about 12210.5056406359. The cubic root of 149096448 is about 530.2602827394.

The spelling of 149096448 in words is "one hundred forty-nine million, ninety-six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4608 6144 8089 9216 16178 18432 24267 32356 48534 64712 72801 97068 129424 145602 194136 258848 291204 388272 517696 582408 776544 1035392 1164816 1553088 2070784 2329632 3106176 4141568 4659264 6212352 8283136 9318528 12424704 16566272 18637056 24849408 37274112 49698816 74548224 149096448