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4980542406 = 237232972311
BaseRepresentation
bin1001010001101110…
…10000101111000110
3110212002202202202120
410220313100233012
540200004324111
62142114150410
7234264624540
oct45067205706
913762682676
104980542406
112126428254
12b6bb82406
13614b08318
14353678690
151e23b1406
hex128dd0bc6

4980542406 has 96 divisors (see below), whose sum is σ = 12028466688. Its totient is φ = 1346526720.

The previous prime is 4980542387. The next prime is 4980542417. The reversal of 4980542406 is 6042450894.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2153991 + ... + 2156301.

It is an arithmetic number, because the mean of its divisors is an integer number (125296528).

Almost surely, 24980542406 is an apocalyptic number.

4980542406 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4980542406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6014233344).

4980542406 is an abundant number, since it is smaller than the sum of its proper divisors (7047924282).

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

4980542406 is a wasteful number, since it uses less digits than its factorization.

4980542406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2466 (or 2443 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 4980542406 is about 70572.9580363470. The cubic root of 4980542406 is about 1707.7549286212.

The spelling of 4980542406 in words is "four billion, nine hundred eighty million, five hundred forty-two thousand, four hundred six".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 97 138 161 194 291 322 483 529 582 679 966 1058 1358 1587 2037 2231 2311 3174 3703 4074 4462 4622 6693 6933 7406 11109 13386 13866 15617 16177 22218 31234 32354 46851 48531 51313 53153 93702 97062 102626 106306 153939 159459 224167 307878 318918 359191 372071 448334 672501 718382 744142 1077573 1116213 1222519 1345002 1569169 2155146 2232426 2445038 3138338 3667557 4707507 5155841 7335114 8557633 9415014 10311682 15467523 17115266 25672899 30935046 36090887 51345798 72181774 108272661 118584343 216545322 237168686 355753029 711506058 830090401 1660180802 2490271203 4980542406