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1828359312 = 243134368141
BaseRepresentation
bin110110011111010…
…1000110010010000
311201102101021110120
41230332220302100
512221024444222
6501232030240
763210540423
oct15476506220
94642337416
101828359312
1185907445a
12430392380
13231a3c320
14134b799ba
15aa7ab15c
hex6cfa8c90

1828359312 has 80 divisors (see below), whose sum is σ = 5204958528. Its totient is φ = 549480960.

The previous prime is 1828359311. The next prime is 1828359347. The reversal of 1828359312 is 2139538281.

It is a happy number.

It is a super-2 number, since 2×18283593122 = 6685795547554226688, which contains 22 as substring.

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 not an unprimeable number, because it can be changed into a prime (1828359311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7239 + ... + 60902.

Almost surely, 21828359312 is an apocalyptic number.

1828359312 is a gapful number since it is divisible by the number (12) 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 1828359312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2602479264).

1828359312 is an abundant number, since it is smaller than the sum of its proper divisors (3376599216).

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

1828359312 is a wasteful number, since it uses less digits than its factorization.

1828359312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68208 (or 68202 counting only the distinct ones).

The product of its digits is 103680, while the sum is 42.

The square root of 1828359312 is about 42759.3184230058. The cubic root of 1828359312 is about 1222.7955493373.

The spelling of 1828359312 in words is "one billion, eight hundred twenty-eight million, three hundred fifty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 43 48 52 78 86 104 129 156 172 208 258 312 344 516 559 624 688 1032 1118 1677 2064 2236 3354 4472 6708 8944 13416 26832 68141 136282 204423 272564 408846 545128 817692 885833 1090256 1635384 1771666 2657499 2930063 3270768 3543332 5314998 5860126 7086664 8790189 10629996 11720252 14173328 17580378 21259992 23440504 35160756 38090819 42519984 46881008 70321512 76181638 114272457 140643024 152363276 228544914 304726552 457089828 609453104 914179656 1828359312