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48573648 = 2433229491
BaseRepresentation
bin1011100101001…
…0110011010000
310101101210112000
42321102303100
544413324043
64453034000
71126604064
oct271226320
9111353460
1048573648
1125467112
1214325900
13a0a9106
146645aa4
1543e72d3
hex2e52cd0

48573648 has 80 divisors (see below), whose sum is σ = 140318400. Its totient is φ = 16087680.

The previous prime is 48573647. The next prime is 48573649. The reversal of 48573648 is 84637584.

It is an interprime number because it is at equal distance from previous prime (48573647) and next prime (48573649).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48573647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98683 + ... + 99173.

It is an arithmetic number, because the mean of its divisors is an integer number (1753980).

Almost surely, 248573648 is an apocalyptic number.

48573648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48573648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70159200).

48573648 is an abundant number, since it is smaller than the sum of its proper divisors (91744752).

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

48573648 is a wasteful number, since it uses less digits than its factorization.

48573648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 725 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 48573648 is about 6969.4797510288. The cubic root of 48573648 is about 364.8661497079.

The spelling of 48573648 in words is "forty-eight million, five hundred seventy-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 229 432 458 491 687 916 982 1374 1473 1832 1964 2061 2748 2946 3664 3928 4122 4419 5496 5892 6183 7856 8244 8838 10992 11784 12366 13257 16488 17676 23568 24732 26514 32976 35352 49464 53028 70704 98928 106056 112439 212112 224878 337317 449756 674634 899512 1011951 1349268 1799024 2023902 2698536 3035853 4047804 5397072 6071706 8095608 12143412 16191216 24286824 48573648