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4768452 = 22321323443
BaseRepresentation
bin10010001100001011000100
322222021002100
4102030023010
52210042302
6250112100
755350123
oct22141304
98867070
104768452
112767677
12171b630
13cac590
148c1aba
15642d1c
hex48c2c4

4768452 has 72 divisors (see below), whose sum is σ = 13575744. Its totient is φ = 1400256.

The previous prime is 4768427. The next prime is 4768459. The reversal of 4768452 is 2548674.

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

It is a d-powerful number, because it can be written as 43 + 7 + 66 + 8 + 411 + 55 + 219 .

It is not an unprimeable number, because it can be changed into a prime (4768459) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10543 + ... + 10985.

It is an arithmetic number, because the mean of its divisors is an integer number (188552).

Almost surely, 24768452 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 4768452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6787872).

4768452 is an abundant number, since it is smaller than the sum of its proper divisors (8807292).

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

4768452 is a wasteful number, since it uses less digits than its factorization.

4768452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 484 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 4768452 is about 2183.6785477721. The cubic root of 4768452 is about 168.3161563582.

The spelling of 4768452 in words is "four million, seven hundred sixty-eight thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 36 39 46 52 69 78 92 117 138 156 207 234 276 299 414 443 468 598 828 886 897 1196 1329 1772 1794 2658 2691 3588 3987 5316 5382 5759 7974 10189 10764 11518 15948 17277 20378 23036 30567 34554 40756 51831 61134 69108 91701 103662 122268 132457 183402 207324 264914 366804 397371 529828 794742 1192113 1589484 2384226 4768452