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5780528100 = 22325213994591
BaseRepresentation
bin1010110001000101…
…11101101111100100
3112220212002020211100
411120202331233210
543314303344400
62353332440100
7263150451414
oct53042755744
915825066740
105780528100
1124a6a59356
121153a79030
13711784839
143cb9dc644
1523c734100
hex1588bdbe4

5780528100 has 108 divisors (see below), whose sum is σ = 18135644800. Its totient is φ = 1540036800.

The previous prime is 5780528059. The next prime is 5780528101. The reversal of 5780528100 is 18250875.

5780528100 is a `hidden beast` number, since 57 + 80 + 528 + 1 + 0 + 0 = 666.

It is a super-2 number, since 2×57805281002 = 66829010229779220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5780528101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1256805 + ... + 1261395.

Almost surely, 25780528100 is an apocalyptic number.

5780528100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5780528100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9067822400).

5780528100 is an abundant number, since it is smaller than the sum of its proper divisors (12355116700).

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

5780528100 is a wasteful number, since it uses less digits than its factorization.

5780528100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6010 (or 6000 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The square root of 5780528100 is about 76029.7842953668. The cubic root of 5780528100 is about 1794.6888813495.

Adding to 5780528100 its reverse (18250875), we get a palindrome (5798778975).

It can be divided in two parts, 57805 and 28100, that added together give a triangular number (85905 = T414).

The spelling of 5780528100 in words is "five billion, seven hundred eighty million, five hundred twenty-eight thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 1399 2798 4197 4591 5596 6995 8394 9182 12591 13773 13990 16788 18364 20985 22955 25182 27546 27980 34975 41319 41970 45910 50364 55092 62955 68865 69950 82638 83940 91820 104925 114775 125910 137730 139900 165276 206595 209850 229550 251820 275460 314775 344325 413190 419700 459100 629550 688650 826380 1032975 1259100 1377300 2065950 4131900 6422809 12845618 19268427 25691236 32114045 38536854 57805281 64228090 77073708 96342135 115610562 128456180 160570225 192684270 231221124 289026405 321140450 385368540 481710675 578052810 642280900 963421350 1156105620 1445132025 1926842700 2890264050 5780528100