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148783050 = 232521329877
BaseRepresentation
bin10001101111000…
…11111111001010
3101100221221222100
420313203333022
5301042024200
622432534230
73454430553
oct1067437712
9340857870
10148783050
1176a909a9
12419b1376
1324a94010
1415a8d32a
15d0ddd00
hex8de3fca

148783050 has 144 divisors (see below), whose sum is σ = 445830840. Its totient is φ = 35320320.

The previous prime is 148783049. The next prime is 148783057. The reversal of 148783050 is 50387841.

It can be written as a sum of positive squares in 12 ways, for example, as 9566649 + 139216401 = 3093^2 + 11799^2 .

It is a junction number, because it is equal to n+sod(n) for n = 148782996 and 148783014.

It is not an unprimeable number, because it can be changed into a prime (148783057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 169212 + ... + 170088.

Almost surely, 2148783050 is an apocalyptic number.

148783050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 148783050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222915420).

148783050 is an abundant number, since it is smaller than the sum of its proper divisors (297047790).

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

148783050 is a wasteful number, since it uses less digits than its factorization.

148783050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 148783050 is about 12197.6657603002. The cubic root of 148783050 is about 529.8884896528. Note that the first 3 decimals are identical.

The spelling of 148783050 in words is "one hundred forty-eight million, seven hundred eighty-three thousand, fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 29 30 39 45 50 58 65 75 78 87 90 117 130 145 150 174 195 225 234 261 290 325 377 390 435 450 522 585 650 725 754 870 877 975 1131 1170 1305 1450 1754 1885 1950 2175 2262 2610 2631 2925 3393 3770 4350 4385 5262 5655 5850 6525 6786 7893 8770 9425 11310 11401 13050 13155 15786 16965 18850 21925 22802 25433 26310 28275 33930 34203 39465 43850 50866 56550 57005 65775 68406 76299 78930 84825 102609 114010 127165 131550 152598 169650 171015 197325 205218 228897 254330 285025 330629 342030 381495 394650 457794 513045 570050 635825 661258 762990 855075 991887 1026090 1144485 1271650 1653145 1710150 1907475 1983774 2288970 2565225 2975661 3306290 3814950 4959435 5130450 5722425 5951322 8265725 9918870 11444850 14878305 16531450 24797175 29756610 49594350 74391525 148783050