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4894272 = 263229293
BaseRepresentation
bin10010101010111001000000
3100012122200100
4102222321000
52223104042
6252522400
756413005
oct22527100
910178610
104894272
112843159
121780400
131024926
149158ac
1566a24c
hex4aae40

4894272 has 84 divisors (see below), whose sum is σ = 14561820. Its totient is φ = 1569792.

The previous prime is 4894271. The next prime is 4894277. The reversal of 4894272 is 2724984.

It can be written as a sum of positive squares in 2 ways, for example, as 3779136 + 1115136 = 1944^2 + 1056^2 .

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 (4894271) 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, 16558 + ... + 16850.

It is an arithmetic number, because the mean of its divisors is an integer number (173355).

Almost surely, 24894272 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 4894272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7280910).

4894272 is an abundant number, since it is smaller than the sum of its proper divisors (9667548).

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

4894272 is a wasteful number, since it uses less digits than its factorization.

4894272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 327 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 4894272 is about 2212.3001604665. The cubic root of 4894272 is about 169.7837157195.

It can be divided in two parts, 489 and 4272, that added together give a square (4761 = 692).

The spelling of 4894272 in words is "four million, eight hundred ninety-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 144 174 192 232 261 288 293 348 464 522 576 586 696 879 928 1044 1172 1392 1758 1856 2088 2344 2637 2784 3516 4176 4688 5274 5568 7032 8352 8497 9376 10548 14064 16704 16994 18752 21096 25491 28128 33988 42192 50982 56256 67976 76473 84384 101964 135952 152946 168768 203928 271904 305892 407856 543808 611784 815712 1223568 1631424 2447136 4894272