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95328768 = 293531171
BaseRepresentation
bin1011010111010…
…01101000000000
320122101012111010
411223221220000
5143401010033
613243120520
72235165303
oct553515000
9218335433
1095328768
11498a0a07
1227b13140
1316999572
14c936b3a
158580863
hex5ae9a00

95328768 has 80 divisors (see below), whose sum is σ = 258974496. Its totient is φ = 31150080.

The previous prime is 95328703. The next prime is 95328769. The reversal of 95328768 is 86782359.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (95328769) 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, 80823 + ... + 81993.

Almost surely, 295328768 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 95328768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129487248).

95328768 is an abundant number, since it is smaller than the sum of its proper divisors (163645728).

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

95328768 is a wasteful number, since it uses less digits than its factorization.

95328768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245 (or 1229 counting only the distinct ones).

The product of its digits is 725760, while the sum is 48.

The square root of 95328768 is about 9763.6452209203. The cubic root of 95328768 is about 456.8160211450.

The spelling of 95328768 in words is "ninety-five million, three hundred twenty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 256 318 384 424 512 636 768 848 1171 1272 1536 1696 2342 2544 3392 3513 4684 5088 6784 7026 9368 10176 13568 14052 18736 20352 27136 28104 37472 40704 56208 62063 74944 81408 112416 124126 149888 186189 224832 248252 299776 372378 449664 496504 599552 744756 899328 993008 1489512 1798656 1986016 2979024 3972032 5958048 7944064 11916096 15888128 23832192 31776256 47664384 95328768