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92094128 = 247397173
BaseRepresentation
bin1010111110100…
…11111010110000
320102021212101122
411133103322300
5142034003003
613045521412
72165534000
oct537237260
9212255348
1092094128
1147a91755
1226a13268
1316106189
14c334000
158142238
hex57d3eb0

92094128 has 80 divisors (see below), whose sum is σ = 211444800. Its totient is φ = 38836224.

The previous prime is 92094091. The next prime is 92094131. The reversal of 92094128 is 82149029.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 532250 + ... + 532422.

It is an arithmetic number, because the mean of its divisors is an integer number (2643060).

Almost surely, 292094128 is an apocalyptic number.

92094128 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 92094128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105722400).

92094128 is an abundant number, since it is smaller than the sum of its proper divisors (119350672).

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

92094128 is a wasteful number, since it uses less digits than its factorization.

92094128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 92094128 is about 9596.5685533945. The cubic root of 92094128 is about 451.5896502866.

The spelling of 92094128 in words is "ninety-two million, ninety-four thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 49 56 97 98 112 173 194 196 343 346 388 392 679 686 692 776 784 1211 1358 1372 1384 1552 2422 2716 2744 2768 4753 4844 5432 5488 8477 9506 9688 10864 16781 16954 19012 19376 33271 33562 33908 38024 59339 66542 67124 67816 76048 117467 118678 133084 134248 135632 234934 237356 266168 268496 469868 474712 532336 822269 939736 949424 1644538 1879472 3289076 5755883 6578152 11511766 13156304 23023532 46047064 92094128