Search a number
-
+
2849420544 = 2838344701
BaseRepresentation
bin1010100111010110…
…1011010100000000
321100120200120011020
42221311223110000
521313422424134
61150424545440
7130416450345
oct25165532400
97316616136
102849420544
111232472913
12676322280
13365441979
141d060a7cc
1511a24cb49
hexa9d6b500

2849420544 has 72 divisors (see below), whose sum is σ = 7675154592. Its totient is φ = 938342400.

The previous prime is 2849420533. The next prime is 2849420551. The reversal of 2849420544 is 4450249482.

It is a junction number, because it is equal to n+sod(n) for n = 2849420496 and 2849420505.

It is a congruent number.

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, 41394 + ... + 86094.

Almost surely, 22849420544 is an apocalyptic number.

2849420544 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 2849420544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3837577296).

2849420544 is an abundant number, since it is smaller than the sum of its proper divisors (4825734048).

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

2849420544 is an equidigital number, since it uses as much as digits as its factorization.

2849420544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44803 (or 44789 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The square root of 2849420544 is about 53379.9638815914. The cubic root of 2849420544 is about 1417.7038444719.

The spelling of 2849420544 in words is "two billion, eight hundred forty-nine million, four hundred twenty thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 128 166 192 249 256 332 384 498 664 768 996 1328 1992 2656 3984 5312 7968 10624 15936 21248 31872 44701 63744 89402 134103 178804 268206 357608 536412 715216 1072824 1430432 2145648 2860864 3710183 4291296 5721728 7420366 8582592 11130549 11443456 14840732 17165184 22261098 29681464 34330368 44522196 59362928 89044392 118725856 178088784 237451712 356177568 474903424 712355136 949806848 1424710272 2849420544