Search a number
-
+
148857744 = 24374310303
BaseRepresentation
bin10001101111101…
…10001110010000
3101101002202102210
420313312032100
5301101421434
622434312120
73455161410
oct1067661620
9341082383
10148857744
1177032032
1241a28640
1324abc009
1415aac640
15d105ee9
hex8df6390

148857744 has 80 divisors (see below), whose sum is σ = 449748992. Its totient is φ = 41537664.

The previous prime is 148857733. The next prime is 148857749. The reversal of 148857744 is 447758841.

148857744 is digitally balanced in base 2, because in such base 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 (48).

It is a junction number, because it is equal to n+sod(n) for n = 148857693 and 148857702.

It is not an unprimeable number, because it can be changed into a prime (148857749) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9297 + ... + 19599.

Almost surely, 2148857744 is an apocalyptic number.

148857744 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 148857744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224874496).

148857744 is an abundant number, since it is smaller than the sum of its proper divisors (300891248).

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

148857744 is a wasteful number, since it uses less digits than its factorization.

148857744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10364 (or 10358 counting only the distinct ones).

The product of its digits is 1003520, while the sum is 48.

The square root of 148857744 is about 12200.7271914423. The cubic root of 148857744 is about 529.9771486528.

The spelling of 148857744 in words is "one hundred forty-eight million, eight hundred fifty-seven thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 43 48 56 84 86 112 129 168 172 258 301 336 344 516 602 688 903 1032 1204 1806 2064 2408 3612 4816 7224 10303 14448 20606 30909 41212 61818 72121 82424 123636 144242 164848 216363 247272 288484 432726 443029 494544 576968 865452 886058 1153936 1329087 1730904 1772116 2658174 3101203 3461808 3544232 5316348 6202406 7088464 9303609 10632696 12404812 18607218 21265392 24809624 37214436 49619248 74428872 148857744