Search a number
-
+
94230528 = 211372313
BaseRepresentation
bin1011001110111…
…01100000000000
320120022101222120
411213131200000
5143110334103
613203404240
72222642400
oct547354000
9216271876
1094230528
1149210877
1227683680
13166a3712
14c72c800
158415253
hex59dd800

94230528 has 144 divisors (see below), whose sum is σ = 293169240. Its totient is φ = 26836992.

The previous prime is 94230497. The next prime is 94230529. The reversal of 94230528 is 82503249.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (94230529) 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 11 ways as a sum of consecutive naturals, for example, 300900 + ... + 301212.

Almost surely, 294230528 is an apocalyptic number.

94230528 is a gapful number since it is divisible by the number (98) 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 94230528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146584620).

94230528 is an abundant number, since it is smaller than the sum of its proper divisors (198938712).

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

94230528 is a wasteful number, since it uses less digits than its factorization.

94230528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 94230528 is about 9707.2410086492. The cubic root of 94230528 is about 455.0549834934.

The spelling of 94230528 in words is "ninety-four million, two hundred thirty thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 313 336 384 392 448 512 588 626 672 768 784 896 939 1024 1176 1252 1344 1536 1568 1792 1878 2048 2191 2352 2504 2688 3072 3136 3584 3756 4382 4704 5008 5376 6144 6272 6573 7168 7512 8764 9408 10016 10752 12544 13146 14336 15024 15337 17528 18816 20032 21504 25088 26292 30048 30674 35056 37632 40064 43008 46011 50176 52584 60096 61348 70112 75264 80128 92022 100352 105168 120192 122696 140224 150528 160256 184044 210336 240384 245392 280448 301056 320512 368088 420672 480768 490784 560896 641024 736176 841344 961536 981568 1121792 1472352 1682688 1923072 1963136 2243584 2944704 3365376 3926272 4487168 5889408 6730752 7852544 11778816 13461504 15705088 23557632 31410176 47115264 94230528