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4788072 = 2336821
BaseRepresentation
bin10010010000111101101000
3100000021000000
4102100331220
52211204242
6250343000
755461252
oct22207550
910007000
104788072
112780393
12172aa60
13cb84a3
148c8cd2
15648a4c
hex490f68

4788072 has 56 divisors (see below), whose sum is σ = 13476690. Its totient is φ = 1594080.

The previous prime is 4788061. The next prime is 4788079. The reversal of 4788072 is 2708874.

It can be written as a sum of positive squares in only one way, i.e., 4435236 + 352836 = 2106^2 + 594^2 .

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 (4788079) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 5422 + ... + 6242.

Almost surely, 24788072 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 4788072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6738345).

4788072 is an abundant number, since it is smaller than the sum of its proper divisors (8688618).

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

4788072 is an equidigital number, since it uses as much as digits as its factorization.

4788072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 4788072 is about 2188.1663556503. The cubic root of 4788072 is about 168.5466884802.

The spelling of 4788072 in words is "four million, seven hundred eighty-eight thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 821 972 1458 1642 1944 2463 2916 3284 4926 5832 6568 7389 9852 14778 19704 22167 29556 44334 59112 66501 88668 133002 177336 199503 266004 399006 532008 598509 798012 1197018 1596024 2394036 4788072