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94028256 = 2533722221
BaseRepresentation
bin1011001101011…
…00000111100000
320112221010112000
411212230013200
5143032401011
613155204000
72221140600
oct546540740
9215833460
1094028256
1149092903
12275a6600
131663262a
14c6b8c00
1583c5356
hex59ac1e0

94028256 has 144 divisors (see below), whose sum is σ = 319168080. Its totient is φ = 26853120.

The previous prime is 94028251. The next prime is 94028261. The reversal of 94028256 is 65282049.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (94028251) and next prime (94028261).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 94028256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (94028251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41226 + ... + 43446.

It is an arithmetic number, because the mean of its divisors is an integer number (2216445).

Almost surely, 294028256 is an apocalyptic number.

94028256 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 94028256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159584040).

94028256 is an abundant number, since it is smaller than the sum of its proper divisors (225139824).

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

94028256 is a wasteful number, since it uses less digits than its factorization.

94028256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2254 (or 2233 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 94028256 is about 9696.8167972794. The cubic root of 94028256 is about 454.7291484647.

The spelling of 94028256 in words is "ninety-four million, twenty-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 72 84 96 98 108 112 126 144 147 168 189 196 216 224 252 288 294 336 378 392 432 441 504 588 672 756 784 864 882 1008 1176 1323 1512 1568 1764 2016 2221 2352 2646 3024 3528 4442 4704 5292 6048 6663 7056 8884 10584 13326 14112 15547 17768 19989 21168 26652 31094 35536 39978 42336 46641 53304 59967 62188 71072 79956 93282 106608 108829 119934 124376 139923 159912 186564 213216 217658 239868 248752 279846 319824 326487 373128 419769 435316 479736 497504 559692 639648 652974 746256 839538 870632 959472 979461 1119384 1305948 1492512 1679076 1741264 1918944 1958922 2238768 2611896 2938383 3358152 3482528 3917844 4477536 5223792 5876766 6716304 7835688 10447584 11753532 13432608 15671376 23507064 31342752 47014128 94028256