Search a number
-
+
148333432 = 231317531583
BaseRepresentation
bin10001101011101…
…10001101111000
3101100010010012211
420311312031320
5300433132212
622415144504
73450545662
oct1065661570
9340103184
10148333432
1176804115
1241815134
1324967480
14159b3532
15d0509a7
hex8d76378

148333432 has 64 divisors (see below), whose sum is σ = 323326080. Its totient is φ = 63178752.

The previous prime is 148333397. The next prime is 148333439. The reversal of 148333432 is 234333841.

It is a junction number, because it is equal to n+sod(n) for n = 148333394 and 148333403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148333439) 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, 92913 + ... + 94495.

It is an arithmetic number, because the mean of its divisors is an integer number (5051970).

Almost surely, 2148333432 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 148333432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161663040).

148333432 is an abundant number, since it is smaller than the sum of its proper divisors (174992648).

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

148333432 is a wasteful number, since it uses less digits than its factorization.

148333432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672 (or 1668 counting only the distinct ones).

The product of its digits is 20736, while the sum is 31.

The square root of 148333432 is about 12179.2213215788. The cubic root of 148333432 is about 529.3541819278.

The spelling of 148333432 in words is "one hundred forty-eight million, three hundred thirty-three thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 17 26 34 52 53 68 104 106 136 212 221 424 442 689 884 901 1378 1583 1768 1802 2756 3166 3604 5512 6332 7208 11713 12664 20579 23426 26911 41158 46852 53822 82316 83899 93704 107644 164632 167798 215288 335596 349843 671192 699686 1090687 1399372 1426283 2181374 2798744 2852566 4362748 5705132 8725496 11410264 18541679 37083358 74166716 148333432