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48524672 = 277311747
BaseRepresentation
bin1011100100011…
…0110110000000
310101022022100002
42321012312000
544410242142
64452015132
71126311230
oct271066600
9111268302
1048524672
1125433339
12143014a8
13a08ca31
146631cc0
1543d7a32
hex2e46d80

48524672 has 64 divisors (see below), whose sum is σ = 114109440. Its totient is φ = 20113920.

The previous prime is 48524657. The next prime is 48524699. The reversal of 48524672 is 27642584.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26903 + ... + 28649.

It is an arithmetic number, because the mean of its divisors is an integer number (1782960).

Almost surely, 248524672 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 48524672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57054720).

48524672 is an abundant number, since it is smaller than the sum of its proper divisors (65584768).

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

48524672 is a wasteful number, since it uses less digits than its factorization.

48524672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1799 (or 1787 counting only the distinct ones).

The product of its digits is 107520, while the sum is 38.

The square root of 48524672 is about 6965.9652597469. The cubic root of 48524672 is about 364.7434789831.

The spelling of 48524672 in words is "forty-eight million, five hundred twenty-four thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 248 434 448 496 868 896 992 1736 1747 1984 3472 3494 3968 6944 6988 12229 13888 13976 24458 27776 27952 48916 54157 55904 97832 108314 111808 195664 216628 223616 379099 391328 433256 758198 782656 866512 1516396 1565312 1733024 3032792 3466048 6065584 6932096 12131168 24262336 48524672