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149183424 = 26331329229
BaseRepresentation
bin10001110010001…
…01101111000000
3101101201022012000
420321011233000
5301142332144
622445304000
73461016045
oct1071055700
9341638160
10149183424
1177234795
1241b65000
1324ba4320
1415b551cc
15d16c769
hex8e45bc0

149183424 has 224 divisors, whose sum is σ = 490728000. Its totient is φ = 44126208.

The previous prime is 149183423. The next prime is 149183431. The reversal of 149183424 is 424381941.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149183423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 651342 + ... + 651570.

It is an arithmetic number, because the mean of its divisors is an integer number (2190750).

Almost surely, 2149183424 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 149183424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245364000).

149183424 is an abundant number, since it is smaller than the sum of its proper divisors (341544576).

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

149183424 is a wasteful number, since it uses less digits than its factorization.

149183424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 276 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 149183424 is about 12214.0666446520. The cubic root of 149183424 is about 530.3633725040.

The spelling of 149183424 in words is "one hundred forty-nine million, one hundred eighty-three thousand, four hundred twenty-four".