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149029248 = 273974001
BaseRepresentation
bin10001110001000…
…00000110000000
3101101102110200210
420320200012000
5301122413443
622442114120
73456504414
oct1070400600
9341373623
10149029248
1177139975
1241aab940
1324b4c0b4
1415b14d44
15d13bc33
hex8e20180

149029248 has 64 divisors (see below), whose sum is σ = 400039920. Its totient is φ = 49152000.

The previous prime is 149029241. The next prime is 149029253. The reversal of 149029248 is 842920941.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149029241) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 35248 + ... + 39248.

Almost surely, 2149029248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149029248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200019960).

149029248 is an abundant number, since it is smaller than the sum of its proper divisors (251010672).

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

149029248 is an equidigital number, since it uses as much as digits as its factorization.

149029248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4115 (or 4103 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 149029248 is about 12207.7536017074. The cubic root of 149029248 is about 530.1806053531.

The spelling of 149029248 in words is "one hundred forty-nine million, twenty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 97 128 192 194 291 384 388 582 776 1164 1552 2328 3104 4001 4656 6208 8002 9312 12003 12416 16004 18624 24006 32008 37248 48012 64016 96024 128032 192048 256064 384096 388097 512128 768192 776194 1164291 1536384 1552388 2328582 3104776 4657164 6209552 9314328 12419104 18628656 24838208 37257312 49676416 74514624 149029248