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4838147136 = 26328399561
BaseRepresentation
bin1001000000110000…
…00100010001000000
3110111011211100011200
410200120010101000
534402031202021
62120030141200
7230615400144
oct44030042100
913434740150
104838147136
11206300a609
12b30351800
135c146c974
1433c7ad224
151d4b35126
hex120604440

4838147136 has 42 divisors (see below), whose sum is σ = 13867676862. Its totient is φ = 1612715520.

The previous prime is 4838147131. The next prime is 4838147141. The reversal of 4838147136 is 6317418384.

It is an interprime number because it is at equal distance from previous prime (4838147131) and next prime (4838147141).

It can be written as a sum of positive squares in only one way, i.e., 4711449600 + 126697536 = 68640^2 + 11256^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4838147091 and 4838147100.

It is not an unprimeable number, because it can be changed into a prime (4838147131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4199205 + ... + 4200356.

Almost surely, 24838147136 is an apocalyptic number.

It is an amenable number.

4838147136 is an abundant number, since it is smaller than the sum of its proper divisors (9029529726).

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

4838147136 is a wasteful number, since it uses less digits than its factorization.

4838147136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8399579 (or 8399566 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 4838147136 is about 69556.7907252771. The cubic root of 4838147136 is about 1691.3222307619.

The spelling of 4838147136 in words is "four billion, eight hundred thirty-eight million, one hundred forty-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 8399561 16799122 25198683 33598244 50397366 67196488 75596049 100794732 134392976 151192098 201589464 268785952 302384196 403178928 537571904 604768392 806357856 1209536784 1612715712 2419073568 4838147136