Search a number
-
+
3138559488 = 293475679
BaseRepresentation
bin1011101100010010…
…1001111000000000
322002201202100020000
42323010221320000
522411432400423
61235234120000
7140530213131
oct27304517000
98081670200
103138559488
1113706a9219
12737120000
133b0308cbc
1421ab93c88
15135813843
hexbb129e00

3138559488 has 100 divisors (see below), whose sum is σ = 9367897440. Its totient is φ = 1046172672.

The previous prime is 3138559483. The next prime is 3138559493. The reversal of 3138559488 is 8849558313.

3138559488 is a `hidden beast` number, since 3 + 1 + 3 + 8 + 559 + 4 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (3138559483) and next prime (3138559493).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3138559483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3633 + ... + 79311.

Almost surely, 23138559488 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 3138559488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4683948720).

3138559488 is an abundant number, since it is smaller than the sum of its proper divisors (6229337952).

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

3138559488 is an frugal number, since it uses more digits than its factorization.

3138559488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75709 (or 75684 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 54.

The square root of 3138559488 is about 56022.8479104731. The cubic root of 3138559488 is about 1464.1203878425.

The spelling of 3138559488 in words is "three billion, one hundred thirty-eight million, five hundred fifty-nine thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1152 1296 1536 1728 2304 2592 3456 4608 5184 6912 10368 13824 20736 41472 75679 151358 227037 302716 454074 605432 681111 908148 1210864 1362222 1816296 2043333 2421728 2724444 3632592 4086666 4843456 5448888 6129999 7265184 8173332 9686912 10897776 12259998 14530368 16346664 19373824 21795552 24519996 29060736 32693328 38747648 43591104 49039992 58121472 65386656 87182208 98079984 116242944 130773312 174364416 196159968 261546624 348728832 392319936 523093248 784639872 1046186496 1569279744 3138559488