Search a number
-
+
5383094976 = 26337445031
BaseRepresentation
bin1010000001101101…
…11000001011000000
3111220011020120002000
411000312320023000
542011033014401
62250054224000
7250253360310
oct50066701300
914804216060
105383094976
112312686a26
121062955000
1367a3316cc
14390d05440
152178cb186
hex140db82c0

5383094976 has 112 divisors (see below), whose sum is σ = 18086100480. Its totient is φ = 1538023680.

The previous prime is 5383094947. The next prime is 5383094987. The reversal of 5383094976 is 6794903835.

5383094976 is a `hidden beast` number, since 538 + 30 + 9 + 4 + 9 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210420 + ... + 234611.

It is an arithmetic number, because the mean of its divisors is an integer number (161483040).

Almost surely, 25383094976 is an apocalyptic number.

5383094976 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

5383094976 is an abundant number, since it is smaller than the sum of its proper divisors (12703005504).

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

5383094976 is a wasteful number, since it uses less digits than its factorization.

5383094976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445059 (or 445043 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The square root of 5383094976 is about 73369.5780006945. The cubic root of 5383094976 is about 1752.5779665666.

The spelling of 5383094976 in words is "five billion, three hundred eighty-three million, ninety-four thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 4032 6048 12096 445031 890062 1335093 1780124 2670186 3115217 3560248 4005279 5340372 6230434 7120496 8010558 9345651 10680744 12015837 12460868 14240992 16021116 18691302 21361488 24031674 24921736 28036953 28481984 32042232 37382604 42722976 48063348 49843472 56073906 64084464 74765208 84110859 85445952 96126696 99686944 112147812 128168928 149530416 168221718 192253392 199373888 224295624 256337856 299060832 336443436 384506784 448591248 598121664 672886872 769013568 897182496 1345773744 1794364992 2691547488 5383094976