Search a number
-
+
148488480 = 25325714731
BaseRepresentation
bin10001101100111…
…00000100100000
3101100101222220100
420312130010200
5301003112410
622422342400
73452063010
oct1066340440
9340358810
10148488480
11768aa658
124188aa00
13249bcc0a
1415a13c40
15d0818c0
hex8d9c120

148488480 has 144 divisors (see below), whose sum is σ = 579144384. Its totient is φ = 33937920.

The previous prime is 148488449. The next prime is 148488491. The reversal of 148488480 is 84884841.

148488480 is a `hidden beast` number, since 14 + 84 + 88 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 2715 + ... + 17445.

It is an arithmetic number, because the mean of its divisors is an integer number (4021836).

Almost surely, 2148488480 is an apocalyptic number.

148488480 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 148488480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289572192).

148488480 is an abundant number, since it is smaller than the sum of its proper divisors (430655904).

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

148488480 is a wasteful number, since it uses less digits than its factorization.

148488480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14759 (or 14748 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 45.

The square root of 148488480 is about 12185.5849264613. The cubic root of 148488480 is about 529.5385564725.

The spelling of 148488480 in words is "one hundred forty-eight million, four hundred eighty-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 5040 10080 14731 29462 44193 58924 73655 88386 103117 117848 132579 147310 176772 206234 220965 235696 265158 294620 309351 353544 412468 441930 471392 515585 530316 589240 618702 662895 707088 824936 883860 928053 1031170 1060632 1178480 1237404 1325790 1414176 1546755 1649872 1767720 1856106 2062340 2121264 2356960 2474808 2651580 3093510 3299744 3535440 3712212 4124680 4242528 4640265 4949616 5303160 6187020 7070880 7424424 8249360 9280530 9899232 10606320 12374040 14848848 16498720 18561060 21212640 24748080 29697696 37122120 49496160 74244240 148488480