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48054864 = 24311137001
BaseRepresentation
bin1011011101010…
…0001001010000
310100102102212210
42313110021100
544300223424
64433552120
71122313434
oct267241120
9110372783
1048054864
1125142370
1214115640
139c56c40
14654c9c4
154343729
hex2dd4250

48054864 has 80 divisors (see below), whose sum is σ = 145865664. Its totient is φ = 13440000.

The previous prime is 48054863. The next prime is 48054871. The reversal of 48054864 is 46845084.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48054863) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3364 + ... + 10364.

Almost surely, 248054864 is an apocalyptic number.

48054864 is a gapful number since it is divisible by the number (44) 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 48054864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72932832).

48054864 is an abundant number, since it is smaller than the sum of its proper divisors (97810800).

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

48054864 is a wasteful number, since it uses less digits than its factorization.

48054864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7036 (or 7030 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The square root of 48054864 is about 6932.1615676497. The cubic root of 48054864 is about 363.5625304341.

It can be divided in two parts, 4805 and 4864, that added together give a palindrome (9669).

The spelling of 48054864 in words is "forty-eight million, fifty-four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 176 208 264 286 312 429 528 572 624 858 1144 1716 2288 3432 6864 7001 14002 21003 28004 42006 56008 77011 84012 91013 112016 154022 168024 182026 231033 273039 308044 336048 364052 462066 546078 616088 728104 924132 1001143 1092156 1232176 1456208 1848264 2002286 2184312 3003429 3696528 4004572 4368624 6006858 8009144 12013716 16018288 24027432 48054864