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4893696 = 2103459
BaseRepresentation
bin10010101010110000000000
3100012121220000
4102222300000
52223044241
6252520000
756411223
oct22526000
910177800
104893696
112842785
121780000
1310245a2
149155ba
15669eb6
hex4aac00

4893696 has 110 divisors (see below), whose sum is σ = 14861220. Its totient is φ = 1603584.

The previous prime is 4893689. The next prime is 4893703. The reversal of 4893696 is 6963984.

It is an interprime number because it is at equal distance from previous prime (4893689) and next prime (4893703).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (279936) is a multiple of the sum of its prime divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 82915 + ... + 82973.

It is an arithmetic number, because the mean of its divisors is an integer number (135102).

Almost surely, 24893696 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 4893696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7430610).

4893696 is an abundant number, since it is smaller than the sum of its proper divisors (9967524).

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

4893696 is an equidigital number, since it uses as much as digits as its factorization.

4893696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 64 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 4893696 is about 2212.1699753862. The cubic root of 4893696 is about 169.7770549225. Note that the first 3 decimals are identical.

The spelling of 4893696 in words is "four million, eight hundred ninety-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 59 64 72 81 96 108 118 128 144 162 177 192 216 236 256 288 324 354 384 432 472 512 531 576 648 708 768 864 944 1024 1062 1152 1296 1416 1536 1593 1728 1888 2124 2304 2592 2832 3072 3186 3456 3776 4248 4608 4779 5184 5664 6372 6912 7552 8496 9216 9558 10368 11328 12744 13824 15104 16992 19116 20736 22656 25488 27648 30208 33984 38232 41472 45312 50976 60416 67968 76464 82944 90624 101952 135936 152928 181248 203904 271872 305856 407808 543744 611712 815616 1223424 1631232 2446848 4893696