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4956448 = 257229109
BaseRepresentation
bin10010111010000100100000
3100022210222011
4102322010200
52232101243
6254122304
760062200
oct22720440
910283864
104956448
112885942
1217b0394
131047013
14930400
1567d89d
hex4ba120

4956448 has 72 divisors (see below), whose sum is σ = 11850300. Its totient is φ = 2032128.

The previous prime is 4956443. The next prime is 4956451. The reversal of 4956448 is 8446594.

It can be written as a sum of positive squares in 2 ways, for example, as 4892944 + 63504 = 2212^2 + 252^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4956448.

It is not an unprimeable number, because it can be changed into a prime (4956443) 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, 45418 + ... + 45526.

Almost surely, 24956448 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 4956448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5925150).

4956448 is an abundant number, since it is smaller than the sum of its proper divisors (6893852).

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

4956448 is a wasteful number, since it uses less digits than its factorization.

4956448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 147 counting only the distinct ones).

The product of its digits is 138240, while the sum is 40.

The square root of 4956448 is about 2226.3081547710. The cubic root of 4956448 is about 170.4996603050.

The spelling of 4956448 in words is "four million, nine hundred fifty-six thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 29 32 49 56 58 98 109 112 116 196 203 218 224 232 392 406 436 464 763 784 812 872 928 1421 1526 1568 1624 1744 2842 3052 3161 3248 3488 5341 5684 6104 6322 6496 10682 11368 12208 12644 21364 22127 22736 24416 25288 42728 44254 45472 50576 85456 88508 101152 154889 170912 177016 309778 354032 619556 708064 1239112 2478224 4956448