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92428900 = 22523132953
BaseRepresentation
bin1011000001001…
…01101001100100
320102220212121121
411200211221210
5142130211100
613101023324
72201430004
oct540455144
9212825547
1092428900
11481a0223
1226b54b44
13161c2675
14c3c0004
1581ab51a
hex5825a64

92428900 has 36 divisors (see below), whose sum is σ = 201279652. Its totient is φ = 36840960.

The previous prime is 92428891. The next prime is 92428907. The reversal of 92428900 is 982429.

It can be written as a sum of positive squares in 6 ways, for example, as 9400356 + 83028544 = 3066^2 + 9112^2 .

It is not an unprimeable number, because it can be changed into a prime (92428907) 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, 29824 + ... + 32776.

Almost surely, 292428900 is an apocalyptic number.

It is an amenable number.

92428900 is an abundant number, since it is smaller than the sum of its proper divisors (108850752).

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

92428900 is a wasteful number, since it uses less digits than its factorization.

92428900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3280 (or 3273 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 92428900 is about 9613.9950072798. The cubic root of 92428900 is about 452.1361808060.

The spelling of 92428900 in words is "ninety-two million, four hundred twenty-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 313 626 1252 1565 2953 3130 5906 6260 7825 11812 14765 15650 29530 31300 59060 73825 147650 295300 924289 1848578 3697156 4621445 9242890 18485780 23107225 46214450 92428900