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48574728 = 23368329
BaseRepresentation
bin1011100101001…
…1000100001000
310101101212000000
42321103010020
544413342403
64453043000
71126610166
oct271230410
9111355000
1048574728
1125467a04
1214326460
13a0a9757
146646236
1543e77a3
hex2e53108

48574728 has 56 divisors (see below), whose sum is σ = 136570350. Its totient is φ = 16189632.

The previous prime is 48574723. The next prime is 48574807. The reversal of 48574728 is 82747584.

48574728 is a `hidden beast` number, since 4 + 8 + 574 + 72 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 47032164 + 1542564 = 6858^2 + 1242^2 .

It is not an unprimeable number, because it can be changed into a prime (48574723) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1668 + ... + 9996.

Almost surely, 248574728 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 48574728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68285175).

48574728 is an abundant number, since it is smaller than the sum of its proper divisors (87995622).

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

48574728 is an equidigital number, since it uses as much as digits as its factorization.

48574728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8353 (or 8334 counting only the distinct ones).

The product of its digits is 501760, while the sum is 45.

The square root of 48574728 is about 6969.5572312737. The cubic root of 48574728 is about 364.8688538663.

The spelling of 48574728 in words is "forty-eight million, five hundred seventy-four thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2916 5832 8329 16658 24987 33316 49974 66632 74961 99948 149922 199896 224883 299844 449766 599688 674649 899532 1349298 1799064 2023947 2698596 4047894 5397192 6071841 8095788 12143682 16191576 24287364 48574728