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94475136 = 273725021
BaseRepresentation
bin1011010000110…
…01001110000000
320120202211112010
411220121032000
5143141201021
613212532520
72225011500
oct550311600
9216684463
1094475136
1149368628
1227781140
131675ab62
14c793a00
158462976
hex5a19380

94475136 has 96 divisors (see below), whose sum is σ = 291979080. Its totient is φ = 26987520.

The previous prime is 94475083. The next prime is 94475141. The reversal of 94475136 is 63157449.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 94475094 and 94475103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16306 + ... + 21326.

Almost surely, 294475136 is an apocalyptic number.

94475136 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 94475136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145989540).

94475136 is an abundant number, since it is smaller than the sum of its proper divisors (197503944).

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

94475136 is a wasteful number, since it uses less digits than its factorization.

94475136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5052 (or 5033 counting only the distinct ones).

The product of its digits is 90720, while the sum is 39.

The square root of 94475136 is about 9719.8320973153. The cubic root of 94475136 is about 455.4483942623.

The spelling of 94475136 in words is "ninety-four million, four hundred seventy-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 294 336 384 392 448 588 672 784 896 1176 1344 1568 2352 2688 3136 4704 5021 6272 9408 10042 15063 18816 20084 30126 35147 40168 60252 70294 80336 105441 120504 140588 160672 210882 241008 246029 281176 321344 421764 482016 492058 562352 642688 738087 843528 964032 984116 1124704 1476174 1687056 1928064 1968232 2249408 2952348 3374112 3936464 4498816 5904696 6748224 7872928 11809392 13496448 15745856 23618784 31491712 47237568 94475136