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148264500 = 22353971019
BaseRepresentation
bin10001101011001…
…01011000110100
3101022222121122210
420311211120310
5300423431000
622413453420
73450141006
oct1065453064
9338877583
10148264500
117676734a
12417a1270
1324941c97
1415996376
15d03a350
hex8d65634

148264500 has 96 divisors (see below), whose sum is σ = 436625280. Its totient is φ = 39091200.

The previous prime is 148264481. The next prime is 148264517. The reversal of 148264500 is 5462841.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 144991 + ... + 146009.

It is an arithmetic number, because the mean of its divisors is an integer number (4548180).

Almost surely, 2148264500 is an apocalyptic number.

148264500 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 148264500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218312640).

148264500 is an abundant number, since it is smaller than the sum of its proper divisors (288360780).

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

148264500 is a wasteful number, since it uses less digits than its factorization.

148264500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 148264500 is about 12176.3910909596. The cubic root of 148264500 is about 529.2721705301.

The spelling of 148264500 in words is "one hundred forty-eight million, two hundred sixty-four thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 97 100 125 150 194 250 291 300 375 388 485 500 582 750 970 1019 1164 1455 1500 1940 2038 2425 2910 3057 4076 4850 5095 5820 6114 7275 9700 10190 12125 12228 14550 15285 20380 24250 25475 29100 30570 36375 48500 50950 61140 72750 76425 98843 101900 127375 145500 152850 197686 254750 296529 305700 382125 395372 494215 509500 593058 764250 988430 1186116 1482645 1528500 1976860 2471075 2965290 4942150 5930580 7413225 9884300 12355375 14826450 24710750 29652900 37066125 49421500 74132250 148264500