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95044768 = 25713127257
BaseRepresentation
bin1011010101001…
…00010010100000
320121211202220121
411222210102200
5143312413033
613233050024
72232603310
oct552442240
9217752817
1095044768
11497175a5
12279b6914
13168ca210
14c8a1440
15852662d
hex5aa44a0

95044768 has 96 divisors (see below), whose sum is σ = 233017344. Its totient is φ = 37158912.

The previous prime is 95044757. The next prime is 95044777. The reversal of 95044768 is 86744059.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 369696 + ... + 369952.

It is an arithmetic number, because the mean of its divisors is an integer number (2427264).

Almost surely, 295044768 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 95044768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116508672).

95044768 is an abundant number, since it is smaller than the sum of its proper divisors (137972576).

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

95044768 is a wasteful number, since it uses less digits than its factorization.

95044768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The square root of 95044768 is about 9749.0906242582. The cubic root of 95044768 is about 456.3619266778.

The spelling of 95044768 in words is "ninety-five million, forty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 127 182 208 224 254 257 364 416 508 514 728 889 1016 1028 1456 1651 1778 1799 2032 2056 2912 3302 3341 3556 3598 4064 4112 6604 6682 7112 7196 8224 11557 13208 13364 14224 14392 23114 23387 26416 26728 28448 28784 32639 46228 46774 52832 53456 57568 65278 92456 93548 106912 130556 184912 187096 228473 261112 369824 374192 424307 456946 522224 748384 848614 913892 1044448 1697228 1827784 2970149 3394456 3655568 5940298 6788912 7311136 11880596 13577824 23761192 47522384 95044768