Search a number
-
+
149474052 = 223371367227
BaseRepresentation
bin10001110100011…
…00101100000100
3101102021001212000
420322030230010
5301231132202
622455425300
73463336260
oct1072145404
9342231760
10149474052
1177413082
1242085230
1324c766b0
1415bcd0a0
15d1c891c
hex8e8cb04

149474052 has 192 divisors, whose sum is σ = 486205440. Its totient is φ = 38662272.

The previous prime is 149474051. The next prime is 149474057. The reversal of 149474052 is 250474941.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 149473998 and 149474016.

It is not an unprimeable number, because it can be changed into a prime (149474051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 658363 + ... + 658589.

It is an arithmetic number, because the mean of its divisors is an integer number (2532320).

Almost surely, 2149474052 is an apocalyptic number.

149474052 is a gapful number since it is divisible by the number (12) 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 149474052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243102720).

149474052 is an abundant number, since it is smaller than the sum of its proper divisors (336731388).

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

149474052 is a wasteful number, since it uses less digits than its factorization.

149474052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 149474052 is about 12225.9581219633. The cubic root of 149474052 is about 530.7075538628.

The spelling of 149474052 in words is "one hundred forty-nine million, four hundred seventy-four thousand, fifty-two".