Search a number
-
+
149042432 = 287117561
BaseRepresentation
bin10001110001000…
…11010100000000
3101101110010210002
420320203110000
5301123324212
622442255132
73456561020
oct1070432400
9341403702
10149042432
1177148870
1241ab74a8
1324b550b6
1415b19a80
15d140ac2
hex8e23500

149042432 has 72 divisors (see below), whose sum is σ = 370961472. Its totient is φ = 58060800.

The previous prime is 149042431. The next prime is 149042471. The reversal of 149042432 is 234240941.

It is a junction number, because it is equal to n+sod(n) for n = 149042395 and 149042404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149042431) 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, 15932 + ... + 23492.

Almost surely, 2149042432 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 149042432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185480736).

149042432 is an abundant number, since it is smaller than the sum of its proper divisors (221919040).

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

149042432 is an equidigital number, since it uses as much as digits as its factorization.

149042432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7595 (or 7581 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 149042432 is about 12208.2935744518. The cubic root of 149042432 is about 530.1962391858.

The spelling of 149042432 in words is "one hundred forty-nine million, forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 256 308 352 448 616 704 896 1232 1408 1792 2464 2816 4928 7561 9856 15122 19712 30244 52927 60488 83171 105854 120976 166342 211708 241952 332684 423416 483904 582197 665368 846832 967808 1164394 1330736 1693664 1935616 2328788 2661472 3387328 4657576 5322944 6774656 9315152 10645888 13549312 18630304 21291776 37260608 74521216 149042432