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47245472 = 255389313
BaseRepresentation
bin1011010000111…
…0100010100000
310021220022121022
42310032202200
544043323342
64404345012
71112402621
oct264164240
9107808538
1047245472
112473a24a
12139a5168
139a32701
1463bba48
1542339d2
hex2d0e8a0

47245472 has 48 divisors (see below), whose sum is σ = 96140520. Its totient is φ = 22843392.

The previous prime is 47245463. The next prime is 47245483. The reversal of 47245472 is 27454274.

It can be written as a sum of positive squares in 4 ways, for example, as 23078416 + 24167056 = 4804^2 + 4916^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 150788 + ... + 151100.

Almost surely, 247245472 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 47245472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48070260).

47245472 is an abundant number, since it is smaller than the sum of its proper divisors (48895048).

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

47245472 is a wasteful number, since it uses less digits than its factorization.

47245472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 457 counting only the distinct ones).

The product of its digits is 62720, while the sum is 35.

The square root of 47245472 is about 6873.5341710069. The cubic root of 47245472 is about 361.5097909778.

The spelling of 47245472 in words is "forty-seven million, two hundred forty-five thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 32 53 89 106 178 212 313 356 424 626 712 848 1252 1424 1696 2504 2848 4717 5008 9434 10016 16589 18868 27857 33178 37736 55714 66356 75472 111428 132712 150944 222856 265424 445712 530848 891424 1476421 2952842 5905684 11811368 23622736 47245472