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3085458444 = 2232414779563
BaseRepresentation
bin1011011111101000…
…0101110000001100
321222000211112021200
42313322011300030
522304334132234
61230100025500
7136313651445
oct26772056014
97860745250
103085458444
11134372a662
12721392290
133a2306273
14213ad02cc
15130d24d99
hexb7e85c0c

3085458444 has 144 divisors (see below), whose sum is σ = 8277534720. Its totient is φ = 967898880.

The previous prime is 3085458437. The next prime is 3085458449. The reversal of 3085458444 is 4448545803.

3085458444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×30854584442 = 19040107619301802272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3085458444.

It is not an unprimeable number, because it can be changed into a prime (3085458449) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5480107 + ... + 5480669.

It is an arithmetic number, because the mean of its divisors is an integer number (57482880).

Almost surely, 23085458444 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 3085458444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4138767360).

3085458444 is an abundant number, since it is smaller than the sum of its proper divisors (5192076276).

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

3085458444 is a wasteful number, since it uses less digits than its factorization.

3085458444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 45.

The square root of 3085458444 is about 55546.9030999929. The cubic root of 3085458444 is about 1455.8162649798.

It can be divided in two parts, 30854 and 58444, that added together give a palindrome (89298).

The spelling of 3085458444 in words is "three billion, eighty-five million, four hundred fifty-eight thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 41 47 79 82 94 123 141 158 164 188 237 246 282 316 369 423 474 492 563 564 711 738 846 948 1126 1422 1476 1689 1692 1927 2252 2844 3239 3378 3713 3854 5067 5781 6478 6756 7426 7708 9717 10134 11139 11562 12956 14852 17343 19434 20268 22278 23083 23124 26461 29151 33417 34686 38868 44477 44556 46166 52922 58302 66834 69249 69372 79383 88954 92332 105844 116604 133431 133668 138498 152233 158766 177908 207747 238149 266862 276996 304466 317532 400293 415494 456699 476298 533724 608932 800586 830988 913398 952596 1084901 1370097 1601172 1823557 1826796 2090419 2169802 2740194 3254703 3647114 4180838 4339604 5470671 5480388 6271257 6509406 7294228 8361676 9764109 10941342 12542514 13018812 16412013 18813771 19528218 21882684 25085028 32824026 37627542 39056436 65648052 75255084 85707179 171414358 257121537 342828716 514243074 771364611 1028486148 1542729222 3085458444