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5306831104 = 282921572
BaseRepresentation
bin1001111000100111…
…11101000100000000
3111200211201221201011
410330103331010000
541332022043404
62234331450304
7245336214541
oct47423750400
914624657634
105306831104
112283627833
1210412b6994
136675aba63
14384b324c8
15210d64604
hex13c4fd100

5306831104 has 81 divisors (see below), whose sum is σ = 11041124367. Its totient is φ = 2545600512.

The previous prime is 5306831093. The next prime is 5306831209. The reversal of 5306831104 is 4011386035.

The square root of 5306831104 is 72848.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 187142400 + 5119688704 = 13680^2 + 71552^2 .

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, 33801394 + ... + 33801550.

Almost surely, 25306831104 is an apocalyptic number.

5306831104 is the 72848-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5306831104

5306831104 is an abundant number, since it is smaller than the sum of its proper divisors (5734293263).

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

5306831104 is an frugal number, since it uses more digits than its factorization.

5306831104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The cubic root of 5306831104 is about 1744.2621439126.

The spelling of 5306831104 in words is "five billion, three hundred six million, eight hundred thirty-one thousand, one hundred four".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 157 232 256 314 464 628 841 928 1256 1682 1856 2512 3364 3712 4553 5024 6728 7424 9106 10048 13456 18212 20096 24649 26912 36424 40192 49298 53824 72848 98596 107648 132037 145696 197192 215296 264074 291392 394384 528148 582784 714821 788768 1056296 1165568 1429642 1577536 2112592 2859284 3155072 4225184 5718568 6310144 8450368 11437136 16900736 20729809 22874272 33801472 41459618 45748544 82919236 91497088 165838472 182994176 331676944 663353888 1326707776 2653415552 5306831104