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8155354249 = 74192972
BaseRepresentation
bin1111001100001100…
…01101010010001001
3210001100201220212101
413212012031102021
5113200232313444
63425125313401
7406045240000
oct74606152211
923040656771
108155354249
113505537399
1216b7265861
139cc798103
14575187c37
1532ae863d4
hex1e618d489

8155354249 has 45 divisors (see below), whose sum is σ = 10145689767. Its totient is φ = 6554120832.

The previous prime is 8155354247. The next prime is 8155354261. The reversal of 8155354249 is 9424535518.

The square root of 8155354249 is 90307.

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

It can be written as a sum of positive squares in only one way, i.e., 3662065225 + 4493289024 = 60515^2 + 67032^2 .

It is not a de Polignac number, because 8155354249 - 21 = 8155354247 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 8155354199 and 8155354208.

It is not an unprimeable number, because it can be changed into a prime (8155354247) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 84075769 + ... + 84075865.

Almost surely, 28155354249 is an apocalyptic number.

8155354249 is the 90307-th square number.

8155354249 is the 45154-th centered octagonal number.

It is an amenable number.

8155354249 is a deficient number, since it is larger than the sum of its proper divisors (1990335518).

8155354249 is an frugal number, since it uses more digits than its factorization.

8155354249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 123 counting only the distinct ones).

The product of its digits is 864000, while the sum is 46.

The cubic root of 8155354249 is about 2012.8632780877.

It can be divided in two parts, 8155 and 354249, that added together give a square (362404 = 6022).

The spelling of 8155354249 in words is "eight billion, one hundred fifty-five million, three hundred fifty-four thousand, two hundred forty-nine".

Divisors: 1 7 19 49 97 133 343 361 679 931 1843 2401 2527 4753 6517 9409 12901 17689 33271 35017 45619 65863 90307 123823 178771 232897 245119 461041 632149 866761 1251397 1715833 3227287 3396649 4425043 8759779 12010831 22591009 23776543 61318453 84075817 166435801 429229171 1165050607 8155354249