Search a number
-
+
148382208 = 2932132477
BaseRepresentation
bin10001101100000…
…10001000000000
3101100012121010100
420312002020000
5300441212313
622420202400
73451141122
oct1066021000
9340177110
10148382208
1176837827
1241839400
1324983730
14159c7212
15d060173
hex8d82200

148382208 has 120 divisors (see below), whose sum is σ = 461368908. Its totient is φ = 45637632.

The previous prime is 148382189. The next prime is 148382219. The reversal of 148382208 is 802283841.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 142850304 + 5531904 = 11952^2 + 2352^2 .

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 (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58666 + ... + 61142.

Almost surely, 2148382208 is an apocalyptic number.

148382208 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 148382208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230684454).

148382208 is an abundant number, since it is smaller than the sum of its proper divisors (312986700).

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

148382208 is a wasteful number, since it uses less digits than its factorization.

148382208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2514 (or 2495 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 148382208 is about 12181.2235838605. The cubic root of 148382208 is about 529.4121975073.

The spelling of 148382208 in words is "one hundred forty-eight million, three hundred eighty-two thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 512 576 624 768 832 936 1152 1248 1536 1664 1872 2304 2477 2496 3328 3744 4608 4954 4992 6656 7431 7488 9908 9984 14862 14976 19816 19968 22293 29724 29952 32201 39632 44586 59448 59904 64402 79264 89172 96603 118896 128804 158528 178344 193206 237792 257608 289809 317056 356688 386412 475584 515216 579618 634112 713376 772824 951168 1030432 1159236 1268224 1426752 1545648 1902336 2060864 2318472 2853504 3091296 3804672 4121728 4636944 5707008 6182592 8243456 9273888 11414016 12365184 16486912 18547776 24730368 37095552 49460736 74191104 148382208