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4719904 = 257191109
BaseRepresentation
bin10010000000010100100000
322212210111021
4102000110200
52202014104
6245055224
755055440
oct22002440
98783437
104719904
112734152
1216b7514
13c93457
148ac120
15633754
hex480520

4719904 has 48 divisors (see below), whose sum is σ = 11188800. Its totient is φ = 1914624.

The previous prime is 4719901. The next prime is 4719907. The reversal of 4719904 is 4099174.

It is an interprime number because it is at equal distance from previous prime (4719901) and next prime (4719907).

It is a self number, because there is not a number n which added to its sum of digits gives 4719904.

It is not an unprimeable number, because it can be changed into a prime (4719901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3702 + ... + 4810.

It is an arithmetic number, because the mean of its divisors is an integer number (233100).

Almost surely, 24719904 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 4719904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5594400).

4719904 is an abundant number, since it is smaller than the sum of its proper divisors (6468896).

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

4719904 is a wasteful number, since it uses less digits than its factorization.

4719904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 4719904 is about 2172.5340043369. The cubic root of 4719904 is about 167.7429932745.

The spelling of 4719904 in words is "four million, seven hundred nineteen thousand, nine hundred four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 152 224 266 304 532 608 1064 1109 2128 2218 4256 4436 7763 8872 15526 17744 21071 31052 35488 42142 62104 84284 124208 147497 168568 248416 294994 337136 589988 674272 1179976 2359952 4719904