Search a number
-
+
148642308 = 223273163347
BaseRepresentation
bin10001101110000…
…01101000000100
3101100200210220200
420313001220010
5301023023213
622425530500
73453303333
oct1067015004
9340623820
10148642308
11769a5191
1241943a30
1324a44c39
1415a53d1a
15d0b2273
hex8dc1a04

148642308 has 72 divisors (see below), whose sum is σ = 384322848. Its totient is φ = 48428928.

The previous prime is 148642267. The next prime is 148642321. The reversal of 148642308 is 803246841.

148642308 is a `hidden beast` number, since 1 + 4 + 8 + 642 + 3 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 428191 + ... + 428537.

Almost surely, 2148642308 is an apocalyptic number.

148642308 is a gapful number since it is divisible by the number (18) 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 148642308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192161424).

148642308 is an abundant number, since it is smaller than the sum of its proper divisors (235680540).

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

148642308 is a wasteful number, since it uses less digits than its factorization.

148642308 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 148642308 is about 12191.8951767147. The cubic root of 148642308 is about 529.7213534684.

The spelling of 148642308 in words is "one hundred forty-eight million, six hundred forty-two thousand, three hundred eight".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 163 219 292 326 347 438 489 652 657 694 876 978 1041 1314 1388 1467 1956 2082 2628 2934 3123 4164 5868 6246 11899 12492 23798 25331 35697 47596 50662 56561 71394 75993 101324 107091 113122 142788 151986 169683 214182 226244 227979 303972 339366 428364 455958 509049 678732 911916 1018098 2036196 4128953 8257906 12386859 16515812 24773718 37160577 49547436 74321154 148642308