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148382304 = 2537220807
BaseRepresentation
bin10001101100000…
…10001001100000
3101100012121020220
420312002021200
5300441213204
622420203040
73451141320
oct1066021140
9340177226
10148382304
1176837904
1241839480
13249837a5
14159c7280
15d0601d9
hex8d82260

148382304 has 48 divisors (see below), whose sum is σ = 445148928. Its totient is φ = 42394752.

The previous prime is 148382263. The next prime is 148382309. The reversal of 148382304 is 403283841.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148382309) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109732 + ... + 111075.

It is an arithmetic number, because the mean of its divisors is an integer number (9273936).

Almost surely, 2148382304 is an apocalyptic number.

148382304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

148382304 is an abundant number, since it is smaller than the sum of its proper divisors (296766624).

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

148382304 is a wasteful number, since it uses less digits than its factorization.

148382304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220827 (or 220819 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 148382304 is about 12181.2275243507. The cubic root of 148382304 is about 529.4123116799.

The spelling of 148382304 in words is "one hundred forty-eight million, three hundred eighty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 220807 441614 662421 883228 1324842 1545649 1766456 2649684 3091298 3532912 4636947 5299368 6182596 7065824 9273894 10598736 12365192 18547788 21197472 24730384 37095576 49460768 74191152 148382304