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4895640 = 233451511
BaseRepresentation
bin10010101011001110011000
3100012201120000
4102223032120
52223130030
6252533000
756420001
oct22531630
910181500
104895640
112844192
121781160
131025439
149161a8
1566a860
hex4ab398

4895640 has 80 divisors (see below), whose sum is σ = 16465680. Its totient is φ = 1304640.

The previous prime is 4895629. The next prime is 4895641. The reversal of 4895640 is 465984.

4895640 is a `hidden beast` number, since 4 + 8 + 9 + 5 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4895595 and 4895604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4895641) 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 19 ways as a sum of consecutive naturals, for example, 2485 + ... + 3995.

It is an arithmetic number, because the mean of its divisors is an integer number (205821).

Almost surely, 24895640 is an apocalyptic number.

4895640 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 4895640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8232840).

4895640 is an abundant number, since it is smaller than the sum of its proper divisors (11570040).

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

4895640 is a wasteful number, since it uses less digits than its factorization.

4895640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1534 (or 1521 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 4895640 is about 2212.6093193332. The cubic root of 4895640 is about 169.7995330182.

The spelling of 4895640 in words is "four million, eight hundred ninety-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1511 1620 3022 3240 4533 6044 7555 9066 12088 13599 15110 18132 22665 27198 30220 36264 40797 45330 54396 60440 67995 81594 90660 108792 122391 135990 163188 181320 203985 244782 271980 326376 407970 489564 543960 611955 815940 979128 1223910 1631880 2447820 4895640