Search a number
-
+
149169408 = 283434517
BaseRepresentation
bin10001110010000…
…10010100000000
3101101200120221220
420321002110000
5301141410113
622445115040
73460630143
oct1071022400
9341616856
10149169408
1177225203
1241b58a80
1324b9ab2b
1415b5005a
15d168523
hex8e42500

149169408 has 72 divisors (see below), whose sum is σ = 406330848. Its totient is φ = 48556032.

The previous prime is 149169353. The next prime is 149169409. The reversal of 149169408 is 804961941.

149169408 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 149169408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149169409) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30766 + ... + 35282.

It is an arithmetic number, because the mean of its divisors is an integer number (5643484).

Almost surely, 2149169408 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 149169408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203165424).

149169408 is an abundant number, since it is smaller than the sum of its proper divisors (257161440).

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

149169408 is an equidigital number, since it uses as much as digits as its factorization.

149169408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4579 (or 4565 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 149169408 is about 12213.4928664981. The cubic root of 149169408 is about 530.3467625133.

The spelling of 149169408 in words is "one hundred forty-nine million, one hundred sixty-nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 256 258 344 384 516 688 768 1032 1376 2064 2752 4128 4517 5504 8256 9034 11008 13551 16512 18068 27102 33024 36136 54204 72272 108408 144544 194231 216816 289088 388462 433632 578176 582693 776924 867264 1156352 1165386 1553848 1734528 2330772 3107696 3469056 4661544 6215392 9323088 12430784 18646176 24861568 37292352 49723136 74584704 149169408