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5804916100 = 22521924012
BaseRepresentation
bin1010110011111111…
…11111110110000100
3112222112222021212121
411121333333312010
543342024303400
62400003255324
7263564654434
oct53177776604
915875867777
105804916100
1125097a6425
12116007a544
137168432c9
143d0d4a2c4
1523e95021a
hex159fffd84

5804916100 has 81 divisors (see below), whose sum is σ = 13327780431. Its totient is φ = 2194272000.

The previous prime is 5804916097. The next prime is 5804916133. The reversal of 5804916100 is 16194085.

The square root of 5804916100 is 76190.

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 1552832836 + 4252083264 = 39406^2 + 65208^2 .

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, 14475900 + ... + 14476300.

Almost surely, 25804916100 is an apocalyptic number.

5804916100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5804916100 is the 76190-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5804916100

5804916100 is an abundant number, since it is smaller than the sum of its proper divisors (7522864331).

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

5804916100 is a wasteful number, since it uses less digits than its factorization.

5804916100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 34.

The cubic root of 5804916100 is about 1797.2092659954.

The spelling of 5804916100 in words is "five billion, eight hundred four million, nine hundred sixteen thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 361 380 401 475 722 802 950 1444 1604 1805 1900 2005 3610 4010 7220 7619 8020 9025 10025 15238 18050 20050 30476 36100 38095 40100 76190 144761 152380 160801 190475 289522 321602 380950 579044 643204 723805 761900 804005 1447610 1608010 2895220 3055219 3216020 3619025 4020025 6110438 7238050 8040050 12220876 14476100 15276095 16080100 30552190 58049161 61104380 76380475 116098322 152760950 232196644 290245805 305521900 580491610 1160983220 1451229025 2902458050 5804916100