Search a number
-
+
149824948 = 227213127463
BaseRepresentation
bin10001110111000…
…10010110110100
3101102220220012011
420323202112310
5301323344243
622511134004
73466330300
oct1073422664
9342826164
10149824948
1177632779
1242214304
132506a320
1415c80d00
15d24789d
hex8ee25b4

149824948 has 72 divisors (see below), whose sum is σ = 331763712. Its totient is φ = 58677696.

The previous prime is 149824907. The next prime is 149824949. The reversal of 149824948 is 849428941.

149824948 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149824949) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 323365 + ... + 323827.

Almost surely, 2149824948 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 149824948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165881856).

149824948 is an abundant number, since it is smaller than the sum of its proper divisors (181938764).

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

149824948 is a wasteful number, since it uses less digits than its factorization.

149824948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 612 counting only the distinct ones).

The product of its digits is 663552, while the sum is 49.

The square root of 149824948 is about 12240.3001597183. The cubic root of 149824948 is about 531.1225146829.

The spelling of 149824948 in words is "one hundred forty-nine million, eight hundred twenty-four thousand, nine hundred forty-eight".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 127 182 196 254 364 463 508 637 889 926 1274 1651 1778 1852 2548 3241 3302 3556 6019 6223 6482 6604 11557 12038 12446 12964 22687 23114 24076 24892 42133 45374 46228 58801 80899 84266 90748 117602 161798 168532 235204 294931 323596 411607 589862 764413 823214 1179724 1528826 1646428 2881249 3057652 5350891 5762498 10701782 11524996 21403564 37456237 74912474 149824948