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48049024 = 271923859
BaseRepresentation
bin1011011101001…
…0101110000000
310100102010212111
42313102232000
544300032044
64433505104
71122260422
oct267225600
9110363774
1048049024
1125138a41
1214112194
139c5439a
14654a812
154341b34
hex2dd2b80

48049024 has 64 divisors (see below), whose sum is σ = 105264000. Its totient is φ = 21745152.

The previous prime is 48049019. The next prime is 48049031. The reversal of 48049024 is 42094084.

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 polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55507 + ... + 56365.

It is an arithmetic number, because the mean of its divisors is an integer number (1644750).

Almost surely, 248049024 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 48049024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52632000).

48049024 is an abundant number, since it is smaller than the sum of its proper divisors (57214976).

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

48049024 is a wasteful number, since it uses less digits than its factorization.

48049024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 48049024 is about 6931.7403298162. The cubic root of 48049024 is about 363.5478021907.

The spelling of 48049024 in words is "forty-eight million, forty-nine thousand, twenty-four".

Divisors: 1 2 4 8 16 19 23 32 38 46 64 76 92 128 152 184 304 368 437 608 736 859 874 1216 1472 1718 1748 2432 2944 3436 3496 6872 6992 13744 13984 16321 19757 27488 27968 32642 39514 54976 55936 65284 79028 109952 130568 158056 261136 316112 375383 522272 632224 750766 1044544 1264448 1501532 2089088 2528896 3003064 6006128 12012256 24024512 48049024