Search a number
-
+
2985193040 = 24567556939
BaseRepresentation
bin1011000111101110…
…0110111001010000
321201001011112000012
42301323212321100
522103202134130
61212115014052
7133655502464
oct26173467120
97631145005
102985193040
1112a2077795
126b389a328
133875cba1b
142046704a4
1512711b995
hexb1ee6e50

2985193040 has 40 divisors (see below), whose sum is σ = 7044177120. Its totient is φ = 1176253056.

The previous prime is 2985193021. The next prime is 2985193049. The reversal of 2985193040 is 403915892.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×29851930402 = 17822754972128883200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2985193049) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 273110 + ... + 283829.

It is an arithmetic number, because the mean of its divisors is an integer number (176104428).

Almost surely, 22985193040 is an apocalyptic number.

2985193040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2985193040 is an abundant number, since it is smaller than the sum of its proper divisors (4058984080).

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

2985193040 is a wasteful number, since it uses less digits than its factorization.

2985193040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557019 (or 557013 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 41.

The square root of 2985193040 is about 54636.9201181765. The cubic root of 2985193040 is about 1439.8728411379.

The spelling of 2985193040 in words is "two billion, nine hundred eighty-five million, one hundred ninety-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 268 335 536 670 1072 1340 2680 5360 556939 1113878 2227756 2784695 4455512 5569390 8911024 11138780 22277560 37314913 44555120 74629826 149259652 186574565 298519304 373149130 597038608 746298260 1492596520 2985193040