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148866304 = 2823131193
BaseRepresentation
bin10001101111110…
…00010100000000
3101101010012011211
420313320110000
5301102210204
622434415504
73455225356
oct1067702400
9341105154
10148866304
1177038504
1241a31594
1324ac2b92
1415ab17d6
15d108804
hex8df8500

148866304 has 72 divisors (see below), whose sum is σ = 314056512. Its totient is φ = 70287360.

The previous prime is 148866293. The next prime is 148866307. The reversal of 148866304 is 403668841.

It is a super-2 number, since 2×1488663042 = 44322352933240832, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148866307) 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 7 ways as a sum of consecutive naturals, for example, 771232 + ... + 771424.

It is an arithmetic number, because the mean of its divisors is an integer number (4361896).

Almost surely, 2148866304 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 148866304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157028256).

148866304 is an abundant number, since it is smaller than the sum of its proper divisors (165190208).

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

148866304 is a wasteful number, since it uses less digits than its factorization.

148866304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The square root of 148866304 is about 12201.0779851618. The cubic root of 148866304 is about 529.9873071601.

The spelling of 148866304 in words is "one hundred forty-eight million, eight hundred sixty-six thousand, three hundred four".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 131 184 193 256 262 368 386 524 736 772 1048 1472 1544 2096 2944 3013 3088 4192 4439 5888 6026 6176 8384 8878 12052 12352 16768 17756 24104 24704 25283 33536 35512 48208 49408 50566 71024 96416 101132 142048 192832 202264 284096 385664 404528 568192 581509 771328 809056 1136384 1163018 1618112 2326036 3236224 4652072 6472448 9304144 18608288 37216576 74433152 148866304