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149499504 = 243271197139
BaseRepresentation
bin10001110100100…
…10111001110000
3101102022100202200
420322102321300
5301232441004
622500143200
73463503420
oct1072227160
9342270680
10149499504
1177430210
1242097b00
1324c8515b
1415bd8480
15d1d1239
hex8e92e70

149499504 has 240 divisors, whose sum is σ = 530799360. Its totient is φ = 38154240.

The previous prime is 149499503. The next prime is 149499523. The reversal of 149499504 is 405994941.

It is a self number, because there is not a number n which added to its sum of digits gives 149499504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149499503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1075467 + ... + 1075605.

It is an arithmetic number, because the mean of its divisors is an integer number (2211664).

Almost surely, 2149499504 is an apocalyptic number.

149499504 is a gapful number since it is divisible by the number (14) 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 149499504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265399680).

149499504 is an abundant number, since it is smaller than the sum of its proper divisors (381299856).

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

149499504 is a wasteful number, since it uses less digits than its factorization.

149499504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 149499504 is about 12226.9989776723. The cubic root of 149499504 is about 530.7376745914.

The spelling of 149499504 in words is "one hundred forty-nine million, four hundred ninety-nine thousand, five hundred four".