Search a number
-
+
149209424 = 2471327883
BaseRepresentation
bin10001110010011…
…00000101010000
3101101202121211222
420321030011100
5301144200144
622450024212
73461154620
oct1071140520
9341677758
10149209424
1177252281
1241b78068
1324bb3100
1415b60880
15d1752ee
hex8e4c150

149209424 has 60 divisors (see below), whose sum is σ = 357807456. Its totient is φ = 59020416.

The previous prime is 149209409. The next prime is 149209427. The reversal of 149209424 is 424902941.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149209427) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14987 + ... + 22869.

Almost surely, 2149209424 is an apocalyptic number.

149209424 is a gapful number since it is divisible by the number (14) 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 149209424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178903728).

149209424 is an abundant number, since it is smaller than the sum of its proper divisors (208598032).

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

149209424 is a wasteful number, since it uses less digits than its factorization.

149209424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7924 (or 7905 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 149209424 is about 12215.1309448569. The cubic root of 149209424 is about 530.3941816612.

The spelling of 149209424 in words is "one hundred forty-nine million, two hundred nine thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 169 182 208 338 364 676 728 1183 1352 1456 2366 2704 4732 7883 9464 15766 18928 31532 55181 63064 102479 110362 126128 204958 220724 409916 441448 717353 819832 882896 1332227 1434706 1639664 2664454 2869412 5328908 5738824 9325589 10657816 11477648 18651178 21315632 37302356 74604712 149209424