Search a number
-
+
149417292 = 223192328493
BaseRepresentation
bin10001110011111…
…10110101001100
3101102011011222210
420321332311030
5301222323132
622454310420
73463011633
oct1071766514
9342134883
10149417292
1177384472
1242058410
1324c568cb
1415bb651a
15d1b6bcc
hex8e7ed4c

149417292 has 48 divisors (see below), whose sum is σ = 382959360. Its totient is φ = 45131328.

The previous prime is 149417291. The next prime is 149417293. The reversal of 149417292 is 292714941.

It is an interprime number because it is at equal distance from previous prime (149417291) and next prime (149417293).

It is a super-2 number, since 2×1494172922 = 44651054297226528, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 149417292.

It is not an unprimeable number, because it can be changed into a prime (149417291) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9003 + ... + 19490.

It is an arithmetic number, because the mean of its divisors is an integer number (7978320).

Almost surely, 2149417292 is an apocalyptic number.

149417292 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

149417292 is an abundant number, since it is smaller than the sum of its proper divisors (233542068).

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

149417292 is a wasteful number, since it uses less digits than its factorization.

149417292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28542 (or 28540 counting only the distinct ones).

The product of its digits is 36288, while the sum is 39.

The square root of 149417292 is about 12223.6366110908. The cubic root of 149417292 is about 530.6403699067.

The spelling of 149417292 in words is "one hundred forty-nine million, four hundred seventeen thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 12 19 23 38 46 57 69 76 92 114 138 228 276 437 874 1311 1748 2622 5244 28493 56986 85479 113972 170958 341916 541367 655339 1082734 1310678 1624101 1966017 2165468 2621356 3248202 3932034 6496404 7864068 12451441 24902882 37354323 49805764 74708646 149417292