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148018432 = 282321093
BaseRepresentation
bin10001101001010…
…01010100000000
3101022112010010011
420310221110000
5300343042212
622404314304
73445064422
oct1064512400
9338463104
10148018432
1176609491
12416a2994
1324886c93
1415930812
15cedc4a7
hex8d29500

148018432 has 54 divisors (see below), whose sum is σ = 309145802. Its totient is φ = 70726656.

The previous prime is 148018421. The next prime is 148018441. The reversal of 148018432 is 234810841.

It can be written as a sum of positive squares in only one way, i.e., 147476736 + 541696 = 12144^2 + 736^2 .

It is a super-3 number, since 3×1480184323 (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 148018394 and 148018403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 134878 + ... + 135970.

Almost surely, 2148018432 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 148018432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154572901).

148018432 is an abundant number, since it is smaller than the sum of its proper divisors (161127370).

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

148018432 is an equidigital number, since it uses as much as digits as its factorization.

148018432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 148018432 is about 12166.2825875450. The cubic root of 148018432 is about 528.9792052317.

The spelling of 148018432 in words is "one hundred forty-eight million, eighteen thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 529 736 1058 1093 1472 2116 2186 2944 4232 4372 5888 8464 8744 16928 17488 25139 33856 34976 50278 67712 69952 100556 135424 139904 201112 279808 402224 578197 804448 1156394 1608896 2312788 3217792 4625576 6435584 9251152 18502304 37004608 74009216 148018432