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2793984 = 29317107
BaseRepresentation
bin1010101010001000000000
312020221121220
422222020000
51203401414
6135515040
732514504
oct12521000
95227556
102793984
111639186
12b28a80
1376a95b
1452a304
153a2ca9
hex2aa200

2793984 has 80 divisors (see below), whose sum is σ = 7954848. Its totient is φ = 868352.

The previous prime is 2793949. The next prime is 2793991. The reversal of 2793984 is 4893972.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26059 + ... + 26165.

22793984 is an apocalyptic number.

2793984 is a gapful number since it is divisible by the number (24) 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 2793984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3977424).

2793984 is an abundant number, since it is smaller than the sum of its proper divisors (5160864).

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

2793984 is a wasteful number, since it uses less digits than its factorization.

2793984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 129 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 2793984 is about 1671.5214626202. The cubic root of 2793984 is about 140.8449580949.

The spelling of 2793984 in words is "two million, seven hundred ninety-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 107 128 136 192 204 214 256 272 321 384 408 428 512 544 642 768 816 856 1088 1284 1536 1632 1712 1819 2176 2568 3264 3424 3638 4352 5136 5457 6528 6848 7276 8704 10272 10914 13056 13696 14552 20544 21828 26112 27392 29104 41088 43656 54784 58208 82176 87312 116416 164352 174624 232832 349248 465664 698496 931328 1396992 2793984