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5844102272 = 272922332
BaseRepresentation
bin1010111000101010…
…11110110010000000
3120002021201011012022
411130111132302000
543432042233042
62403523221012
7264552023021
oct53425366200
916067634168
105844102272
112529930598
121171217768
137219b35a8
143d622ac48
152430e0cd2
hex15c55ec80

5844102272 has 72 divisors (see below), whose sum is σ = 12109830915. Its totient is φ = 2809182208.

The previous prime is 5844102259. The next prime is 5844102281. The reversal of 5844102272 is 2722014485.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 1303498816 + 4540603456 = 36104^2 + 67384^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=54056.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 25081868 + ... + 25082100.

Almost surely, 25844102272 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 5844102272

5844102272 is an abundant number, since it is smaller than the sum of its proper divisors (6265728643).

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

5844102272 is an frugal number, since it uses more digits than its factorization.

5844102272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 35.

The square root of 5844102272 is about 76446.7283276400. The cubic root of 5844102272 is about 1801.2442294544.

It can be divided in two parts, 58 and 44102272, that multiplied together give a square (2557931776 = 505762).

The spelling of 5844102272 in words is "five billion, eight hundred forty-four million, one hundred two thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 233 464 466 841 928 932 1682 1856 1864 3364 3712 3728 6728 6757 7456 13456 13514 14912 26912 27028 29824 53824 54056 54289 107648 108112 108578 195953 216224 217156 391906 432448 434312 783812 864896 868624 1567624 1574381 1737248 3135248 3148762 3474496 6270496 6297524 6948992 12540992 12595048 25081984 25190096 45657049 50380192 91314098 100760384 182628196 201520768 365256392 730512784 1461025568 2922051136 5844102272