Search a number
-
+
149579172 = 223219379577
BaseRepresentation
bin10001110101001…
…10010110100100
3101102110102001100
420322212112210
5301243013142
622502000100
73464254611
oct1072462644
9342412040
10149579172
1177485056
1242116030
1324cb24b2
1415c19508
15d1e9b4c
hex8ea65a4

149579172 has 72 divisors (see below), whose sum is σ = 399744800. Its totient is φ = 47029248.

The previous prime is 149579159. The next prime is 149579201. The reversal of 149579172 is 271975941.

149579172 is a `hidden beast` number, since 1 + 4 + 9 + 579 + 1 + 72 = 666.

Its product of digits (158760) is a multiple of the sum of its prime divisors (980).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 258948 + ... + 259524.

Almost surely, 2149579172 is an apocalyptic number.

149579172 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 149579172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199872400).

149579172 is an abundant number, since it is smaller than the sum of its proper divisors (250165628).

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

149579172 is a wasteful number, since it uses less digits than its factorization.

149579172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 980 counting only the distinct ones).

The product of its digits is 158760, while the sum is 45.

The square root of 149579172 is about 12230.2564159547. The cubic root of 149579172 is about 530.8319342139.

The spelling of 149579172 in words is "one hundred forty-nine million, five hundred seventy-nine thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 379 577 684 758 1137 1154 1516 1731 2274 2308 3411 3462 4548 5193 6822 6924 7201 10386 10963 13644 14402 20772 21603 21926 28804 32889 43206 43852 64809 65778 86412 98667 129618 131556 197334 218683 259236 394668 437366 656049 874732 1312098 1968147 2624196 3936294 4154977 7872588 8309954 12464931 16619908 24929862 37394793 49859724 74789586 149579172