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148263480 = 233351071283
BaseRepresentation
bin10001101011001…
…01001000111000
3101022222120021000
420311211020320
5300423412410
622413445000
73450135021
oct1065451070
9338876230
10148263480
1176766602
12417a0760
1324941691
1415995c48
15d039dc0
hex8d65238

148263480 has 128 divisors (see below), whose sum is σ = 499219200. Its totient is φ = 39136896.

The previous prime is 148263463. The next prime is 148263491. The reversal of 148263480 is 84362841.

148263480 is a `hidden beast` number, since 14 + 8 + 2 + 634 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114919 + ... + 116201.

It is an arithmetic number, because the mean of its divisors is an integer number (3900150).

Almost surely, 2148263480 is an apocalyptic number.

148263480 is a gapful number since it is divisible by the number (10) 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 148263480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249609600).

148263480 is an abundant number, since it is smaller than the sum of its proper divisors (350955720).

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

148263480 is a wasteful number, since it uses less digits than its factorization.

148263480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1410 (or 1400 counting only the distinct ones).

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

The square root of 148263480 is about 12176.3492065561. The cubic root of 148263480 is about 529.2709568009.

The spelling of 148263480 in words is "one hundred forty-eight million, two hundred sixty-three thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 107 108 120 135 180 214 216 270 321 360 428 535 540 642 856 963 1070 1080 1283 1284 1605 1926 2140 2566 2568 2889 3210 3849 3852 4280 4815 5132 5778 6415 6420 7698 7704 9630 10264 11547 11556 12830 12840 14445 15396 19245 19260 23094 23112 25660 28890 30792 34641 38490 38520 46188 51320 57735 57780 69282 76980 92376 115470 115560 137281 138564 153960 173205 230940 274562 277128 346410 411843 461880 549124 686405 692820 823686 1098248 1235529 1372810 1385640 1647372 2059215 2471058 2745620 3294744 3706587 4118430 4942116 5491240 6177645 7413174 8236860 9884232 12355290 14826348 16473720 18532935 24710580 29652696 37065870 49421160 74131740 148263480