Search a number
-
+
148583424 = 2103114397
BaseRepresentation
bin10001101101100…
…11010000000000
3101100120211010210
420312303100000
5301014132144
622424354120
73452636553
oct1066632000
9340524123
10148583424
1176964a20
1241915940
1324a241b2
1415a3a69a
15d09eab9
hex8db3400

148583424 has 88 divisors (see below), whose sum is σ = 432129888. Its totient is φ = 45015040.

The previous prime is 148583419. The next prime is 148583429. The reversal of 148583424 is 424385841.

It is an interprime number because it is at equal distance from previous prime (148583419) and next prime (148583429).

It is a tau number, because it is divible by the number of its divisors (88).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148583429) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31594 + ... + 35990.

Almost surely, 2148583424 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 148583424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216064944).

148583424 is an abundant number, since it is smaller than the sum of its proper divisors (283546464).

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

148583424 is a wasteful number, since it uses less digits than its factorization.

148583424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4431 (or 4413 counting only the distinct ones).

The product of its digits is 122880, while the sum is 39.

The square root of 148583424 is about 12189.4800545388. The cubic root of 148583424 is about 529.6513952975.

The spelling of 148583424 in words is "one hundred forty-eight million, five hundred eighty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1024 1056 1408 1536 2112 2816 3072 4224 4397 5632 8448 8794 11264 13191 16896 17588 26382 33792 35176 48367 52764 70352 96734 105528 140704 145101 193468 211056 281408 290202 386936 422112 562816 580404 773872 844224 1125632 1160808 1547744 1688448 2251264 2321616 3095488 3376896 4502528 4643232 6190976 6753792 9286464 12381952 13507584 18572928 24763904 37145856 49527808 74291712 148583424