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48876744 = 23371072719
BaseRepresentation
bin1011101001110…
…0110011001000
310101222012021210
42322130303020
5100003023434
64503333120
71132305540
oct272346310
9111865253
1048876744
1125653904
12144511a0
13a184067
1466c4320
154456ee9
hex2e9ccc8

48876744 has 64 divisors (see below), whose sum is σ = 141004800. Its totient is φ = 13829184.

The previous prime is 48876743. The next prime is 48876749. The reversal of 48876744 is 44767884.

It is a happy number.

48876744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×488767442 = 4777872208083072, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 48876693 and 48876702.

It is not an unprimeable number, because it can be changed into a prime (48876743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16617 + ... + 19335.

It is an arithmetic number, because the mean of its divisors is an integer number (2203200).

Almost surely, 248876744 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 48876744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70502400).

48876744 is an abundant number, since it is smaller than the sum of its proper divisors (92128056).

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

48876744 is a wasteful number, since it uses less digits than its factorization.

48876744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2842 (or 2838 counting only the distinct ones).

The product of its digits is 1204224, while the sum is 48.

The square root of 48876744 is about 6991.1904565675. The cubic root of 48876744 is about 365.6234893063.

The spelling of 48876744 in words is "forty-eight million, eight hundred seventy-six thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 107 168 214 321 428 642 749 856 1284 1498 2247 2568 2719 2996 4494 5438 5992 8157 8988 10876 16314 17976 19033 21752 32628 38066 57099 65256 76132 114198 152264 228396 290933 456792 581866 872799 1163732 1745598 2036531 2327464 3491196 4073062 6109593 6982392 8146124 12219186 16292248 24438372 48876744