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148494384 = 243629439
BaseRepresentation
bin10001101100111…
…01100000110000
3101100102022000000
420312131200300
5301003310014
622422430000
73452116143
oct1066354060
9340368000
10148494384
1176904035
1241892300
13249c27cc
1415a1605a
15d083509
hex8d9d830

148494384 has 140 divisors (see below), whose sum is σ = 447255600. Its totient is φ = 47682432.

The previous prime is 148494383. The next prime is 148494389. The reversal of 148494384 is 483494841.

148494384 is a `hidden beast` number, since 1 + 484 + 94 + 3 + 84 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (148494383) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 338037 + ... + 338475.

Almost surely, 2148494384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148494384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223627800).

148494384 is an abundant number, since it is smaller than the sum of its proper divisors (298761216).

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

148494384 is an equidigital number, since it uses as much as digits as its factorization.

148494384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 473 counting only the distinct ones).

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

The square root of 148494384 is about 12185.8271775042. The cubic root of 148494384 is about 529.5455746470.

The spelling of 148494384 in words is "one hundred forty-eight million, four hundred ninety-four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 81 87 108 116 144 162 174 216 232 243 261 324 348 432 439 464 486 522 648 696 729 783 878 972 1044 1296 1317 1392 1458 1566 1756 1944 2088 2349 2634 2916 3132 3512 3888 3951 4176 4698 5268 5832 6264 7024 7047 7902 9396 10536 11664 11853 12528 12731 14094 15804 18792 21072 21141 23706 25462 28188 31608 35559 37584 38193 42282 47412 50924 56376 63216 71118 76386 84564 94824 101848 106677 112752 114579 142236 152772 169128 189648 203696 213354 229158 284472 305544 320031 338256 343737 426708 458316 568944 611088 640062 687474 853416 916632 1031211 1280124 1374948 1706832 1833264 2062422 2560248 2749896 3093633 4124844 5120496 5499792 6187266 8249688 9280899 12374532 16499376 18561798 24749064 37123596 49498128 74247192 148494384