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92428080 = 24351033739
BaseRepresentation
bin1011000001001…
…01011100110000
320102220211111020
411200211130300
5142130144310
613101015440
72201424423
oct540453460
9212824436
1092428080
114819a648
1226b54580
13161c2194
14c3bd9ba
1581ab170
hex5825730

92428080 has 80 divisors (see below), whose sum is σ = 289386240. Its totient is φ = 24401664.

The previous prime is 92428069. The next prime is 92428087. The reversal of 92428080 is 8082429.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (92428087) 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 15 ways as a sum of consecutive naturals, for example, 22851 + ... + 26589.

It is an arithmetic number, because the mean of its divisors is an integer number (3617328).

Almost surely, 292428080 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 92428080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144693120).

92428080 is an abundant number, since it is smaller than the sum of its proper divisors (196958160).

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

92428080 is a wasteful number, since it uses less digits than its factorization.

92428080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3858 (or 3852 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 92428080 is about 9613.9523610220. The cubic root of 92428080 is about 452.1348437323.

The spelling of 92428080 in words is "ninety-two million, four hundred twenty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 103 120 206 240 309 412 515 618 824 1030 1236 1545 1648 2060 2472 3090 3739 4120 4944 6180 7478 8240 11217 12360 14956 18695 22434 24720 29912 37390 44868 56085 59824 74780 89736 112170 149560 179472 224340 299120 385117 448680 770234 897360 1155351 1540468 1925585 2310702 3080936 3851170 4621404 5776755 6161872 7702340 9242808 11553510 15404680 18485616 23107020 30809360 46214040 92428080