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4749472 = 257213233
BaseRepresentation
bin10010000111100010100000
322221022001101
4102013202200
52203440342
6245444144
755240600
oct22074240
98838041
104749472
112754392
121710654
13ca3a50
148b8c00
1563c3b7
hex4878a0

4749472 has 72 divisors (see below), whose sum is σ = 11764116. Its totient is φ = 1870848.

The previous prime is 4749467. The next prime is 4749497. The reversal of 4749472 is 2749474.

It can be written as a sum of positive squares in 2 ways, for example, as 4177936 + 571536 = 2044^2 + 756^2 .

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20268 + ... + 20500.

Almost surely, 24749472 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 4749472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5882058).

4749472 is an abundant number, since it is smaller than the sum of its proper divisors (7014644).

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

4749472 is a wasteful number, since it uses less digits than its factorization.

4749472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 255 counting only the distinct ones).

The product of its digits is 56448, while the sum is 37.

The square root of 4749472 is about 2179.3283368965. The cubic root of 4749472 is about 168.0925416073.

The spelling of 4749472 in words is "four million, seven hundred forty-nine thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 91 98 104 112 182 196 208 224 233 364 392 416 466 637 728 784 932 1274 1456 1568 1631 1864 2548 2912 3029 3262 3728 5096 6058 6524 7456 10192 11417 12116 13048 20384 21203 22834 24232 26096 42406 45668 48464 52192 84812 91336 96928 148421 169624 182672 296842 339248 365344 593684 678496 1187368 2374736 4749472