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158304768 = 293234481
BaseRepresentation
bin10010110111110…
…00101000000000
3102000212201022120
421123320220000
5311011223033
623413004240
73631365636
oct1133705000
9360781276
10158304768
11813a4796
1245023680
1326a48c7b
141704b356
15dd701b3
hex96f8a00

158304768 has 80 divisors (see below), whose sum is σ = 440168256. Its totient is φ = 50462720.

The previous prime is 158304763. The next prime is 158304781. The reversal of 158304768 is 867403851.

It is not an unprimeable number, because it can be changed into a prime (158304761) 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, 33088 + ... + 37568.

Almost surely, 2158304768 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 158304768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220084128).

158304768 is an abundant number, since it is smaller than the sum of its proper divisors (281863488).

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

158304768 is an equidigital number, since it uses as much as digits as its factorization.

158304768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4525 (or 4509 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 158304768 is about 12581.9222696693. The cubic root of 158304768 is about 540.9593918791.

The spelling of 158304768 in words is "one hundred fifty-eight million, three hundred four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 512 552 736 768 1104 1472 1536 2208 2944 4416 4481 5888 8832 8962 11776 13443 17664 17924 26886 35328 35848 53772 71696 103063 107544 143392 206126 215088 286784 309189 412252 430176 573568 618378 824504 860352 1147136 1236756 1649008 1720704 2294272 2473512 3298016 3441408 4947024 6596032 6882816 9894048 13192064 19788096 26384128 39576192 52768256 79152384 158304768