Search a number
-
+
148290048 = 293317631
BaseRepresentation
bin10001101011010…
…11101000000000
3101100000220201000
420311223220000
5300430240143
622414212000
73450305334
oct1065535000
9340026630
10148290048
1176784565
12417b4000
13249507ba
14159a17c4
15d042bd3
hex8d6ba00

148290048 has 160 divisors (see below), whose sum is σ = 465505920. Its totient is φ = 46448640.

The previous prime is 148290017. The next prime is 148290049. The reversal of 148290048 is 840092841.

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

It is a junction number, because it is equal to n+sod(n) for n = 148289994 and 148290021.

It is not an unprimeable number, because it can be changed into a prime (148290049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234693 + ... + 235323.

It is an arithmetic number, because the mean of its divisors is an integer number (2909412).

Almost surely, 2148290048 is an apocalyptic number.

148290048 is a gapful number since it is divisible by the number (18) 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 148290048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232752960).

148290048 is an abundant number, since it is smaller than the sum of its proper divisors (317215872).

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

148290048 is an equidigital number, since it uses as much as digits as its factorization.

148290048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 148290048 is about 12177.4401250838. The cubic root of 148290048 is about 529.3025690607.

The spelling of 148290048 in words is "one hundred forty-eight million, two hundred ninety thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 128 136 144 153 192 204 216 256 272 288 306 384 408 432 459 512 544 576 612 631 768 816 864 918 1088 1152 1224 1262 1536 1632 1728 1836 1893 2176 2304 2448 2524 3264 3456 3672 3786 4352 4608 4896 5048 5679 6528 6912 7344 7572 8704 9792 10096 10727 11358 13056 13824 14688 15144 17037 19584 20192 21454 22716 26112 29376 30288 32181 34074 39168 40384 42908 45432 58752 60576 64362 68148 78336 80768 85816 90864 96543 117504 121152 128724 136296 161536 171632 181728 193086 235008 242304 257448 272592 289629 323072 343264 363456 386172 484608 514896 545184 579258 686528 726912 772344 969216 1029792 1090368 1158516 1373056 1453824 1544688 2059584 2180736 2317032 2746112 2907648 3089376 4119168 4361472 4634064 5492224 6178752 8238336 8722944 9268128 12357504 16476672 18536256 24715008 37072512 49430016 74145024 148290048