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2892831216 = 2431123116067
BaseRepresentation
bin1010110001101101…
…0001100111110000
321110121101001101220
42230123101213300
521411031044331
61155015225040
7131454442152
oct25433214760
97417331356
102892831216
111254a22a00
12688978180
13371430a62
141d62aaad2
1511de75296
hexac6d19f0

2892831216 has 120 divisors (see below), whose sum is σ = 8479790592. Its totient is φ = 848284800.

The previous prime is 2892831203. The next prime is 2892831239. The reversal of 2892831216 is 6121382982.

2892831216 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172015 + ... + 188081.

Almost surely, 22892831216 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 2892831216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4239895296).

2892831216 is an abundant number, since it is smaller than the sum of its proper divisors (5586959376).

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

2892831216 is a wasteful number, since it uses less digits than its factorization.

2892831216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16131 (or 16114 counting only the distinct ones).

The product of its digits is 82944, while the sum is 42.

The square root of 2892831216 is about 53785.0463976745. The cubic root of 2892831216 is about 1424.8671206351.

The spelling of 2892831216 in words is "two billion, eight hundred ninety-two million, eight hundred thirty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 33 44 48 62 66 88 93 121 124 132 176 186 242 248 264 341 363 372 484 496 528 682 726 744 968 1023 1364 1452 1488 1936 2046 2728 2904 3751 4092 5456 5808 7502 8184 11253 15004 16067 16368 22506 30008 32134 45012 48201 60016 64268 90024 96402 128536 176737 180048 192804 257072 353474 385608 498077 530211 706948 771216 996154 1060422 1413896 1494231 1944107 1992308 2120844 2827792 2988462 3888214 3984616 4241688 5478847 5832321 5976924 7776428 7969232 8483376 10957694 11664642 11953848 15552856 16436541 21915388 23329284 23907696 31105712 32873082 43830776 46658568 60267317 65746164 87661552 93317136 120534634 131492328 180801951 241069268 262984656 361603902 482138536 723207804 964277072 1446415608 2892831216