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148011948 = 2234729323
BaseRepresentation
bin10001101001001…
…11101110101100
3101022111210020000
420310213232230
5300342340243
622404224300
73445036500
oct1064475654
9338453200
10148011948
1176604627
124169b090
1324884046
141592c300
15ceda5d3
hex8d27bac

148011948 has 90 divisors (see below), whose sum is σ = 450153396. Its totient is φ = 42284592.

The previous prime is 148011869. The next prime is 148011961. The reversal of 148011948 is 849110841.

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 29 ways as a sum of consecutive naturals, for example, 11215 + ... + 20537.

Almost surely, 2148011948 is an apocalyptic number.

148011948 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 148011948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225076698).

148011948 is an abundant number, since it is smaller than the sum of its proper divisors (302141448).

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

148011948 is a wasteful number, since it uses less digits than its factorization.

148011948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9353 (or 9335 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 148011948 is about 12166.0161104611. The cubic root of 148011948 is about 528.9714810783.

The spelling of 148011948 in words is "one hundred forty-eight million, eleven thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 378 441 567 588 756 882 1134 1323 1764 2268 2646 3969 5292 7938 9323 15876 18646 27969 37292 55938 65261 83907 111876 130522 167814 195783 251721 261044 335628 391566 456827 503442 587349 755163 783132 913654 1006884 1174698 1370481 1510326 1762047 1827308 2349396 2740962 3020652 3524094 4111443 5286141 5481924 7048188 8222886 10572282 12334329 16445772 21144564 24668658 37002987 49337316 74005974 148011948