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2998811232 = 253253223881
BaseRepresentation
bin1011001010111110…
…0011101001100000
321201222210101122200
42302233203221200
522120143424412
61213322533200
7134212321614
oct26257435140
97658711580
102998811232
1112a982929a
126b8367200
1338a389421
142063b7344
1512840b9dc
hexb2be3a60

2998811232 has 144 divisors (see below), whose sum is σ = 8737642368. Its totient is φ = 975237120.

The previous prime is 2998811219. The next prime is 2998811239. The reversal of 2998811232 is 2321188992.

It is a happy number.

2998811232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2998811239) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3403432 + ... + 3404312.

It is an arithmetic number, because the mean of its divisors is an integer number (60678072).

Almost surely, 22998811232 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 2998811232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4368821184).

2998811232 is an abundant number, since it is smaller than the sum of its proper divisors (5738831136).

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

2998811232 is a wasteful number, since it uses less digits than its factorization.

2998811232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1173 (or 1162 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 2998811232 is about 54761.4027577819. The cubic root of 2998811232 is about 1442.0590451244.

The spelling of 2998811232 in words is "two billion, nine hundred ninety-eight million, eight hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 72 96 106 144 159 212 223 288 318 424 446 477 636 669 848 881 892 954 1272 1338 1696 1762 1784 1908 2007 2544 2643 2676 3524 3568 3816 4014 5088 5286 5352 7048 7136 7632 7929 8028 10572 10704 11819 14096 15264 15858 16056 21144 21408 23638 28192 31716 32112 35457 42288 46693 47276 63432 64224 70914 84576 93386 94552 106371 126864 140079 141828 186772 189104 196463 212742 253728 280158 283656 373544 378208 392926 420237 425484 560316 567312 589389 747088 785852 840474 850968 1120632 1134624 1178778 1494176 1571704 1680948 1701936 1768167 2241264 2357556 3143408 3361896 3403872 3536334 4482528 4715112 6286816 6723792 7072668 9430224 10412539 13447584 14145336 18860448 20825078 28290672 31237617 41650156 56581344 62475234 83300312 93712851 124950468 166600624 187425702 249900936 333201248 374851404 499801872 749702808 999603744 1499405616 2998811232