Search a number
-
+
149658656 = 2574331543
BaseRepresentation
bin10001110101110…
…01110000100000
3101102121110002012
420322321300200
5301303034111
622503412052
73465035420
oct1072716040
9342543065
10149658656
1177529844
1242154028
132500c724
1415c3a480
15d21348b
hex8eb9c20

149658656 has 48 divisors (see below), whose sum is σ = 337728384. Its totient is φ = 63949824.

The previous prime is 149658643. The next prime is 149658679. The reversal of 149658656 is 656856941.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96221 + ... + 97763.

It is an arithmetic number, because the mean of its divisors is an integer number (7036008).

Almost surely, 2149658656 is an apocalyptic number.

149658656 is a gapful number since it is divisible by the number (16) 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 149658656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168864192).

149658656 is an abundant number, since it is smaller than the sum of its proper divisors (188069728).

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

149658656 is a wasteful number, since it uses less digits than its factorization.

149658656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1993 (or 1985 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 50.

The square root of 149658656 is about 12233.5054665456. The cubic root of 149658656 is about 530.9259427884.

The spelling of 149658656 in words is "one hundred forty-nine million, six hundred fifty-eight thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 433 866 1543 1732 3031 3086 3464 6062 6172 6928 10801 12124 12344 13856 21602 24248 24688 43204 48496 49376 86408 96992 172816 345632 668119 1336238 2672476 4676833 5344952 9353666 10689904 18707332 21379808 37414664 74829328 149658656