Search a number
-
+
149254464 = 2631276121
BaseRepresentation
bin10001110010101…
…11000101000000
3101101211220122010
420321113011000
5301202120324
622451012520
73461433132
oct1071270500
9341756563
10149254464
11772830a7
1241b9a140
1324bca768
1415b73052
15d183829
hex8e57140

149254464 has 56 divisors (see below), whose sum is σ = 398076928. Its totient is φ = 49351680.

The previous prime is 149254459. The next prime is 149254471. The reversal of 149254464 is 464452941.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21324 + ... + 27444.

Almost surely, 2149254464 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 149254464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199038464).

149254464 is an abundant number, since it is smaller than the sum of its proper divisors (248822464).

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

149254464 is a wasteful number, since it uses less digits than its factorization.

149254464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6263 (or 6253 counting only the distinct ones).

The product of its digits is 138240, while the sum is 39.

The square root of 149254464 is about 12216.9744208621. The cubic root of 149254464 is about 530.4475441321.

The spelling of 149254464 in words is "one hundred forty-nine million, two hundred fifty-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 192 254 381 508 762 1016 1524 2032 3048 4064 6096 6121 8128 12192 12242 18363 24384 24484 36726 48968 73452 97936 146904 195872 293808 391744 587616 777367 1175232 1554734 2332101 3109468 4664202 6218936 9328404 12437872 18656808 24875744 37313616 49751488 74627232 149254464