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5828623424 = 2613341453
BaseRepresentation
bin1010110110110100…
…11011110001000000
3120001012120202012122
411123122123301000
543414111422144
62402211343412
7264303324131
oct53332336100
916035522178
105828623424
112521119058
121167bb1b68
1371b724000
143d415bc88
15241a847ee
hex15b69bc40

5828623424 has 56 divisors (see below), whose sum is σ = 12529886040. Its totient is φ = 2690068992.

The previous prime is 5828623403. The next prime is 5828623429. The reversal of 5828623424 is 4243268285.

It can be written as a sum of positive squares in 4 ways, for example, as 3207183424 + 2621440000 = 56632^2 + 51200^2 .

It is not an unprimeable number, because it can be changed into a prime (5828623429) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 119882 + ... + 161334.

It is an arithmetic number, because the mean of its divisors is an integer number (223747965).

Almost surely, 25828623424 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 5828623424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6264943020).

5828623424 is an abundant number, since it is smaller than the sum of its proper divisors (6701262616).

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

5828623424 is an equidigital number, since it uses as much as digits as its factorization.

5828623424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41504 (or 41468 counting only the distinct ones).

The product of its digits is 737280, while the sum is 44.

The square root of 5828623424 is about 76345.4217618843. The cubic root of 5828623424 is about 1799.6525485741.

The spelling of 5828623424 in words is "five billion, eight hundred twenty-eight million, six hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 338 416 676 832 1352 2197 2704 4394 5408 8788 10816 17576 35152 41453 70304 82906 140608 165812 331624 538889 663248 1077778 1326496 2155556 2652992 4311112 7005557 8622224 14011114 17244448 28022228 34488896 56044456 91072241 112088912 182144482 224177824 364288964 448355648 728577928 1457155856 2914311712 5828623424