Search a number
-
+
148508800 = 2752114219
BaseRepresentation
bin10001101101000…
…01000010000000
3101100110000202221
420312201002000
5301004240200
622423020424
73452206156
oct1066410200
9340400687
10148508800
1176913950
124189a714
13249c923b
1415a1b3d6
15d08791a
hex8da1080

148508800 has 96 divisors (see below), whose sum is σ = 400309200. Its totient is φ = 53990400.

The previous prime is 148508761. The next prime is 148508819. The reversal of 148508800 is 8805841.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33091 + ... + 37309.

Almost surely, 2148508800 is an apocalyptic number.

148508800 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 148508800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200154600).

148508800 is an abundant number, since it is smaller than the sum of its proper divisors (251800400).

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

148508800 is a wasteful number, since it uses less digits than its factorization.

148508800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4254 (or 4237 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 34.

The square root of 148508800 is about 12186.4186699785. The cubic root of 148508800 is about 529.5627103837.

The spelling of 148508800 in words is "one hundred forty-eight million, five hundred eight thousand, eight hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 128 160 176 200 220 275 320 352 400 440 550 640 704 800 880 1100 1408 1600 1760 2200 3200 3520 4219 4400 7040 8438 8800 16876 17600 21095 33752 35200 42190 46409 67504 84380 92818 105475 135008 168760 185636 210950 232045 270016 337520 371272 421900 464090 540032 675040 742544 843800 928180 1160225 1350080 1485088 1687600 1856360 2320450 2700160 2970176 3375200 3712720 4640900 5940352 6750400 7425440 9281800 13500800 14850880 18563600 29701760 37127200 74254400 148508800