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2552876676 = 2234724012
BaseRepresentation
bin1001100000101001…
…1100111010000100
320120220200120110000
42120022130322010
520212014023201
61101153001300
7120156044100
oct23012347204
96526616400
102552876676
1110a003a039
125b2b53230
13318b8401c
141a3096900
15ee1c2d86
hex9829ce84

2552876676 has 135 divisors (see below), whose sum is σ = 7782719637. Its totient is φ = 727574400.

The previous prime is 2552876653. The next prime is 2552876681. The reversal of 2552876676 is 6766782552.

The square root of 2552876676 is 50526.

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

2552876676 is a `hidden beast` number, since 2 + 552 + 87 + 6 + 6 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2527475076 + 25401600 = 50274^2 + 5040^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 6366076 + ... + 6366476.

Almost surely, 22552876676 is an apocalyptic number.

2552876676 is the 50526-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2552876676

2552876676 is an abundant number, since it is smaller than the sum of its proper divisors (5229842961).

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

2552876676 is an equidigital number, since it uses as much as digits as its factorization.

2552876676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 413 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 54.

The cubic root of 2552876676 is about 1366.7107544241.

It can be divided in two parts, 2552876 and 676, that added together give a palindrome (2553552).

The spelling of 2552876676 in words is "two billion, five hundred fifty-two million, eight hundred seventy-six thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 378 401 441 567 588 756 802 882 1134 1203 1323 1604 1764 2268 2406 2646 2807 3609 3969 4812 5292 5614 7218 7938 8421 10827 11228 14436 15876 16842 19649 21654 25263 32481 33684 39298 43308 50526 58947 64962 75789 78596 101052 117894 129924 151578 160801 176841 227367 235788 303156 321602 353682 454734 482403 530523 643204 707364 909468 964806 1061046 1125607 1447209 1591569 1929612 2122092 2251214 2894418 3183138 3376821 4341627 4502428 5788836 6366276 6753642 7879249 8683254 10130463 13024881 13507284 15758498 17366508 20260926 23637747 26049762 30391389 31516996 40521852 47275494 52099524 60782778 70913241 91174167 94550988 121565556 141826482 182348334 212739723 283652964 364696668 425479446 638219169 850958892 1276438338 2552876676