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5382344928 = 2531910328649
BaseRepresentation
bin1010000001101000…
…00001000011100000
3111220002211110012110
411000310001003200
542010340014203
62250030155320
7250244114502
oct50064010340
914802743173
105382344928
112312214454
121062652b40
1367a12b1ac
14390b8bd72
152177cdd03
hex140d010e0

5382344928 has 96 divisors (see below), whose sum is σ = 15017184000. Its totient is φ = 1683127296.

The previous prime is 5382344927. The next prime is 5382344951. The reversal of 5382344928 is 8294432835.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5382344921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173548 + ... + 202196.

It is an arithmetic number, because the mean of its divisors is an integer number (156429000).

Almost surely, 25382344928 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 5382344928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7508592000).

5382344928 is an abundant number, since it is smaller than the sum of its proper divisors (9634839072).

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

5382344928 is a wasteful number, since it uses less digits than its factorization.

5382344928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28784 (or 28776 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 48.

The square root of 5382344928 is about 73364.4663853013. The cubic root of 5382344928 is about 1752.4965649033.

The spelling of 5382344928 in words is "five billion, three hundred eighty-two million, three hundred forty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 103 114 152 206 228 304 309 412 456 608 618 824 912 1236 1648 1824 1957 2472 3296 3914 4944 5871 7828 9888 11742 15656 23484 28649 31312 46968 57298 62624 85947 93936 114596 171894 187872 229192 343788 458384 544331 687576 916768 1088662 1375152 1632993 2177324 2750304 2950847 3265986 4354648 5901694 6531972 8709296 8852541 11803388 13063944 17418592 17705082 23606776 26127888 35410164 47213552 52255776 56066093 70820328 94427104 112132186 141640656 168198279 224264372 283281312 336396558 448528744 672793116 897057488 1345586232 1794114976 2691172464 5382344928