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5076306048 = 273113138767
BaseRepresentation
bin1001011101001001…
…00100100010000000
3111002202222001210010
410232210210202000
540344013243143
62155414504520
7236536614042
oct45644444200
914082861703
105076306048
112175495960
12b98065140
1362b8c77b8
14362285a92
151ea9caa33
hex12e924880

5076306048 has 128 divisors (see below), whose sum is σ = 15184650240. Its totient is φ = 1488614400.

The previous prime is 5076306043. The next prime is 5076306101. The reversal of 5076306048 is 8406036705.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×50763060482 = 51537766185922756608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5076305997 and 5076306015.

It is not an unprimeable number, because it can be changed into a prime (5076306043) 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, 111561 + ... + 150327.

It is an arithmetic number, because the mean of its divisors is an integer number (118630080).

Almost surely, 25076306048 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 5076306048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7592325120).

5076306048 is an abundant number, since it is smaller than the sum of its proper divisors (10108344192).

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

5076306048 is a wasteful number, since it uses less digits than its factorization.

5076306048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38826 (or 38814 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 5076306048 is about 71248.2003141132. The cubic root of 5076306048 is about 1718.6308339587.

The spelling of 5076306048 in words is "five billion, seventy-six million, three hundred six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 32 33 44 48 62 64 66 88 93 96 124 128 132 176 186 192 248 264 341 352 372 384 496 528 682 704 744 992 1023 1056 1364 1408 1488 1984 2046 2112 2728 2976 3968 4092 4224 5456 5952 8184 10912 11904 16368 21824 32736 38767 43648 65472 77534 116301 130944 155068 232602 310136 426437 465204 620272 852874 930408 1201777 1240544 1279311 1705748 1860816 2403554 2481088 2558622 3411496 3605331 3721632 4807108 4962176 5117244 6822992 7210662 7443264 9614216 10234488 13219547 13645984 14421324 14886528 19228432 20468976 26439094 27291968 28842648 38456864 39658641 40937952 52878188 54583936 57685296 76913728 79317282 81875904 105756376 115370592 153827456 158634564 163751808 211512752 230741184 317269128 423025504 461482368 634538256 846051008 1269076512 1692102016 2538153024 5076306048