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4892040 = 23325107127
BaseRepresentation
bin10010101010010110001000
3100012112121200
4102222112020
52223021130
6252504200
756403336
oct22522610
910175550
104892040
11284150a
12177b060
1310238ca
14914b56
15669760
hex4aa588

4892040 has 96 divisors (see below), whose sum is σ = 16174080. Its totient is φ = 1282176.

The previous prime is 4892021. The next prime is 4892047. The reversal of 4892040 is 402984.

It is a super-3 number, since 3×48920403 (a number of 21 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4891995 and 4892013.

It is not an unprimeable number, because it can be changed into a prime (4892047) 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, 38457 + ... + 38583.

It is an arithmetic number, because the mean of its divisors is an integer number (168480).

Almost surely, 24892040 is an apocalyptic number.

4892040 is a gapful number since it is divisible by the number (40) 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 4892040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8087040).

4892040 is an abundant number, since it is smaller than the sum of its proper divisors (11282040).

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

4892040 is a wasteful number, since it uses less digits than its factorization.

4892040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 4892040 is about 2211.7956505970. The cubic root of 4892040 is about 169.7579022192.

The spelling of 4892040 in words is "four million, eight hundred ninety-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 107 120 127 180 214 254 321 360 381 428 508 535 635 642 762 856 963 1016 1070 1143 1270 1284 1524 1605 1905 1926 2140 2286 2540 2568 3048 3210 3810 3852 4280 4572 4815 5080 5715 6420 7620 7704 9144 9630 11430 12840 13589 15240 19260 22860 27178 38520 40767 45720 54356 67945 81534 108712 122301 135890 163068 203835 244602 271780 326136 407670 489204 543560 611505 815340 978408 1223010 1630680 2446020 4892040