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4781088 = 2532131277
BaseRepresentation
bin10010001111010000100000
322222220102100
4102033100200
52210443323
6250250400
755432014
oct22172040
98886370
104781088
112776114
121726a00
13cb5260
148c6544
15646943
hex48f420

4781088 has 72 divisors (see below), whose sum is σ = 14653548. Its totient is φ = 1469952.

The previous prime is 4781057. The next prime is 4781089. The reversal of 4781088 is 8801874.

It can be written as a sum of positive squares in 2 ways, for example, as 4717584 + 63504 = 2172^2 + 252^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (4781089) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3106 + ... + 4382.

Almost surely, 24781088 is an apocalyptic number.

4781088 is a gapful number since it is divisible by the number (48) 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 4781088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7326774).

4781088 is an abundant number, since it is smaller than the sum of its proper divisors (9872460).

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

4781088 is a wasteful number, since it uses less digits than its factorization.

4781088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1306 (or 1295 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 4781088 is about 2186.5699165588. The cubic root of 4781088 is about 168.4646998170.

The spelling of 4781088 in words is "four million, seven hundred eighty-one thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1277 1872 2554 3744 3831 5108 7662 10216 11493 15324 16601 20432 22986 30648 33202 40864 45972 49803 61296 66404 91944 99606 122592 132808 149409 183888 199212 265616 298818 367776 398424 531232 597636 796848 1195272 1593696 2390544 4781088