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148520484 = 223272920323
BaseRepresentation
bin10001101101000…
…11111000100100
3101100110121210200
420312203320210
5301010123414
622423150500
73452255220
oct1066437044
9340417720
10148520484
1176921702
12418a5430
1324a01658
1415a21780
15d08b109
hex8da3e24

148520484 has 72 divisors (see below), whose sum is σ = 443876160. Its totient is φ = 40969152.

The previous prime is 148520461. The next prime is 148520497. The reversal of 148520484 is 484025841.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2854 + ... + 17469.

Almost surely, 2148520484 is an apocalyptic number.

148520484 is a gapful number since it is divisible by the number (14) 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 148520484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221938080).

148520484 is an abundant number, since it is smaller than the sum of its proper divisors (295355676).

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

148520484 is a wasteful number, since it uses less digits than its factorization.

148520484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20369 (or 20364 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 148520484 is about 12186.8980466729. The cubic root of 148520484 is about 529.5765978849.

The spelling of 148520484 in words is "one hundred forty-eight million, five hundred twenty thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 58 63 84 87 116 126 174 203 252 261 348 406 522 609 812 1044 1218 1827 2436 3654 7308 20323 40646 60969 81292 121938 142261 182907 243876 284522 365814 426783 569044 589367 731628 853566 1178734 1280349 1707132 1768101 2357468 2560698 3536202 4125569 5121396 5304303 7072404 8251138 10608606 12376707 16502276 21217212 24753414 37130121 49506828 74260242 148520484