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248819076 = 22321122392
BaseRepresentation
bin11101101010010…
…10110110000100
3122100012022121100
432311022312010
51002144202301
640405020100
76110633022
oct1665126604
9570168540
10248819076
111184a7500
126b3b4630
133c71b02c
142508d712
1516c9e286
hexed4ad84

248819076 has 81 divisors (see below), whose sum is σ = 694240183. Its totient is φ = 75084240.

The previous prime is 248819063. The next prime is 248819093. The reversal of 248819076 is 670918842.

The square root of 248819076 is 15774.

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

248819076 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1040965 + ... + 1041203.

Almost surely, 2248819076 is an apocalyptic number.

248819076 is the 15774-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248819076

248819076 is an abundant number, since it is smaller than the sum of its proper divisors (445421107).

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

248819076 is a wasteful number, since it uses less digits than its factorization.

248819076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The cubic root of 248819076 is about 628.9670449984.

The spelling of 248819076 in words is "two hundred forty-eight million, eight hundred nineteen thousand, seventy-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 239 242 363 396 478 484 717 726 956 1089 1434 1452 2151 2178 2629 2868 4302 4356 5258 7887 8604 10516 15774 23661 28919 31548 47322 57121 57838 86757 94644 114242 115676 171363 173514 228484 260271 342726 347028 514089 520542 628331 685452 1028178 1041084 1256662 1884993 2056356 2513324 3769986 5654979 6911641 7539972 11309958 13823282 20734923 22619916 27646564 41469846 62204769 82939692 124409538 248819076