Search a number
-
+
148394484 = 223371910331
BaseRepresentation
bin10001101100001…
…01000111110100
3101100020012222000
420312011013310
5300442110414
622420335300
73451221660
oct1066050764
9340205860
10148394484
1176845a77
1241844530
13249891b4
14159cb8a0
15d063b09
hex8d851f4

148394484 has 96 divisors (see below), whose sum is σ = 462873600. Its totient is φ = 40163040.

The previous prime is 148394443. The next prime is 148394497. The reversal of 148394484 is 484493841.

148394484 is a `hidden beast` number, since 1 + 4 + 83 + 94 + 484 = 666.

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, 9199 + ... + 19529.

It is an arithmetic number, because the mean of its divisors is an integer number (4821600).

Almost surely, 2148394484 is an apocalyptic number.

148394484 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 148394484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231436800).

148394484 is an abundant number, since it is smaller than the sum of its proper divisors (314479116).

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

148394484 is a wasteful number, since it uses less digits than its factorization.

148394484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10370 (or 10362 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 148394484 is about 12181.7274637056. The cubic root of 148394484 is about 529.4267969326.

The spelling of 148394484 in words is "one hundred forty-eight million, three hundred ninety-four thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 27 28 36 38 42 54 57 63 76 84 108 114 126 133 171 189 228 252 266 342 378 399 513 532 684 756 798 1026 1197 1596 2052 2394 3591 4788 7182 10331 14364 20662 30993 41324 61986 72317 92979 123972 144634 185958 196289 216951 278937 289268 371916 392578 433902 557874 588867 650853 785156 867804 1115748 1177734 1301706 1374023 1766601 1952559 2355468 2603412 2748046 3533202 3905118 4122069 5299803 5496092 7066404 7810236 8244138 10599606 12366207 16488276 21199212 24732414 37098621 49464828 74197242 148394484