Search a number
-
+
149682456 = 233273111929
BaseRepresentation
bin10001110101111…
…11100100011000
3101102122122201200
420322333210120
5301304314311
622504114200
73465165000
oct1072774430
9342578650
10149682456
1177545710
1242165960
132501a501
1415c45000
15d21a556
hex8ebf918

149682456 has 384 divisors, whose sum is σ = 561600000. Its totient is φ = 35562240.

The previous prime is 149682439. The next prime is 149682457. The reversal of 149682456 is 654286941.

It is a super-3 number, since 3×1496824563 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149682457) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5161450 + ... + 5161478.

It is an arithmetic number, because the mean of its divisors is an integer number (1462500).

Almost surely, 2149682456 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 149682456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280800000).

149682456 is an abundant number, since it is smaller than the sum of its proper divisors (411917544).

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

149682456 is a wasteful number, since it uses less digits than its factorization.

149682456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 71 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 149682456 is about 12234.4781662317. The cubic root of 149682456 is about 530.9540854253.

It can be divided in two parts, 14968 and 2456, that added together give a square (17424 = 1322).

The spelling of 149682456 in words is "one hundred forty-nine million, six hundred eighty-two thousand, four hundred fifty-six".