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2874631984 = 247315914033
BaseRepresentation
bin1010101101010111…
…0110011100110000
321102100010102202021
42223111312130300
521341401210414
61153125201224
7131143653160
oct25325663460
97370112667
102874631984
111245722614
12682860214
1336a72b193
141d3ad05a0
1511c57cc24
hexab576730

2874631984 has 80 divisors (see below), whose sum is σ = 6682429440. Its totient is φ = 1171952640.

The previous prime is 2874631951. The next prime is 2874631993. The reversal of 2874631984 is 4891364782.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197832 + ... + 211864.

It is an arithmetic number, because the mean of its divisors is an integer number (83530368).

Almost surely, 22874631984 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 2874631984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3341214720).

2874631984 is an abundant number, since it is smaller than the sum of its proper divisors (3807797456).

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

2874631984 is a wasteful number, since it uses less digits than its factorization.

2874631984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14138 (or 14132 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 52.

The square root of 2874631984 is about 53615.5945970946. The cubic root of 2874631984 is about 1421.8728155368.

The spelling of 2874631984 in words is "two billion, eight hundred seventy-four million, six hundred thirty-one thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 31 56 59 62 112 118 124 217 236 248 413 434 472 496 826 868 944 1652 1736 1829 3304 3472 3658 6608 7316 12803 14033 14632 25606 28066 29264 51212 56132 98231 102424 112264 196462 204848 224528 392924 435023 785848 827947 870046 1571696 1655894 1740092 3045161 3311788 3480184 5795629 6090322 6623576 6960368 11591258 12180644 13247152 23182516 24361288 25666357 46365032 48722576 51332714 92730064 102665428 179664499 205330856 359328998 410661712 718657996 1437315992 2874631984