Search a number
-
+
48586752 = 21332659
BaseRepresentation
bin1011100101011…
…0000000000000
310101102110111100
42321112000000
544414234002
64453214400
71126660224
oct271260000
9111373440
1048586752
1125475a45
1214331400
13a0b2076
14664a784
1543eb11c
hex2e56000

48586752 has 84 divisors (see below), whose sum is σ = 140566140. Its totient is φ = 16171008.

The previous prime is 48586729. The next prime is 48586793. The reversal of 48586752 is 25768584.

It is a junction number, because it is equal to n+sod(n) for n = 48586698 and 48586707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 73399 + ... + 74057.

Almost surely, 248586752 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 48586752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70283070).

48586752 is an abundant number, since it is smaller than the sum of its proper divisors (91979388).

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

48586752 is an equidigital number, since it uses as much as digits as its factorization.

48586752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691 (or 664 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The square root of 48586752 is about 6970.4197864978. The cubic root of 48586752 is about 364.8989574567.

The spelling of 48586752 in words is "forty-eight million, five hundred eighty-six thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 659 768 1024 1152 1318 1536 1977 2048 2304 2636 3072 3954 4096 4608 5272 5931 6144 7908 8192 9216 10544 11862 12288 15816 18432 21088 23724 24576 31632 36864 42176 47448 63264 73728 84352 94896 126528 168704 189792 253056 337408 379584 506112 674816 759168 1012224 1349632 1518336 2024448 2699264 3036672 4048896 5398528 6073344 8097792 12146688 16195584 24293376 48586752