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4992984 = 2332312237
BaseRepresentation
bin10011000010111111011000
3100101200002100
4103002333120
52234233414
6255003400
760303543
oct23027730
910350070
104992984
112900337
121809560
13105a839
1493d85a
15689609
hex4c2fd8

4992984 has 48 divisors (see below), whose sum is σ = 13965120. Its totient is φ = 1609920.

The previous prime is 4992973. The next prime is 4992997. The reversal of 4992984 is 4892994.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1114 + ... + 3350.

It is an arithmetic number, because the mean of its divisors is an integer number (290940).

Almost surely, 24992984 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 4992984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6982560).

4992984 is an abundant number, since it is smaller than the sum of its proper divisors (8972136).

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

4992984 is a wasteful number, since it uses less digits than its factorization.

4992984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2280 (or 2273 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 4992984 is about 2234.4986014764. The cubic root of 4992984 is about 170.9175759536.

The spelling of 4992984 in words is "four million, nine hundred ninety-two thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1116 2232 2237 4474 6711 8948 13422 17896 20133 26844 40266 53688 69347 80532 138694 161064 208041 277388 416082 554776 624123 832164 1248246 1664328 2496492 4992984