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148008432 = 243111321563
BaseRepresentation
bin10001101001001…
…10110111110000
3101022111121101210
420310212313300
5300342232212
622404200120
73445023315
oct1064466760
9338447353
10148008432
1176601a20
1241699040
1324882570
141592ad0c
15ced953c
hex8d26df0

148008432 has 80 divisors (see below), whose sum is σ = 449221248. Its totient is φ = 41399040.

The previous prime is 148008407. The next prime is 148008433. The reversal of 148008432 is 234800841.

148008432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 148008432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148008433) 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, 3918 + ... + 17645.

Almost surely, 2148008432 is an apocalyptic number.

148008432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

148008432 is an abundant number, since it is smaller than the sum of its proper divisors (301212816).

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

148008432 is a wasteful number, since it uses less digits than its factorization.

148008432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21598 (or 21592 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 148008432 is about 12165.8716087258. The cubic root of 148008432 is about 528.9672925010.

It can be divided in two parts, 14800 and 8432, that added together give a palindrome (23232).

The spelling of 148008432 in words is "one hundred forty-eight million, eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 176 208 264 286 312 429 528 572 624 858 1144 1716 2288 3432 6864 21563 43126 64689 86252 129378 172504 237193 258756 280319 345008 474386 517512 560638 711579 840957 948772 1035024 1121276 1423158 1681914 1897544 2242552 2846316 3083509 3363828 3795088 4485104 5692632 6167018 6727656 9250527 11385264 12334036 13455312 18501054 24668072 37002108 49336144 74004216 148008432