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1828180464 = 243117347431
BaseRepresentation
bin110110011110111…
…1101000111110000
311201102001012010120
41230331331013300
512221003233324
6501224130240
763206164125
oct15475750760
94642035116
101828180464
11858a62050
12430306980
132319a8ab6
14134b3074c
15aa773179
hex6cf7d1f0

1828180464 has 80 divisors (see below), whose sum is σ = 5222832384. Its totient is φ = 546393600.

The previous prime is 1828180457. The next prime is 1828180469. The reversal of 1828180464 is 4640818281.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1828180469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14829 + ... + 62259.

Almost surely, 21828180464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1828180464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2611416192).

1828180464 is an abundant number, since it is smaller than the sum of its proper divisors (3394651920).

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

1828180464 is a wasteful number, since it uses less digits than its factorization.

1828180464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47526 (or 47520 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 42.

The square root of 1828180464 is about 42757.2270382447. The cubic root of 1828180464 is about 1222.7556772202.

The spelling of 1828180464 in words is "one billion, eight hundred twenty-eight million, one hundred eighty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 73 88 132 146 176 219 264 292 438 528 584 803 876 1168 1606 1752 2409 3212 3504 4818 6424 9636 12848 19272 38544 47431 94862 142293 189724 284586 379448 521741 569172 758896 1043482 1138344 1565223 2086964 2276688 3130446 3462463 4173928 6260892 6924926 8347856 10387389 12521784 13849852 20774778 25043568 27699704 38087093 41549556 55399408 76174186 83099112 114261279 152348372 166198224 228522558 304696744 457045116 609393488 914090232 1828180464