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4148316088 = 23733148767
BaseRepresentation
bin1111011101000010…
…0100011110111000
3101201002210021212121
43313100210132320
531443432103323
61523344451024
7204541051000
oct36720443670
911632707777
104148316088
111839686304
12979319a74
13511581007
142b4d21000
151942c0a5d
hexf74247b8

4148316088 has 64 divisors (see below), whose sum is σ = 9363456000. Its totient is φ = 1720464480.

The previous prime is 4148316083. The next prime is 4148316089. The reversal of 4148316088 is 8806138414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4148316083) 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 15 ways as a sum of consecutive naturals, for example, 60681 + ... + 109447.

It is an arithmetic number, because the mean of its divisors is an integer number (146304000).

Almost surely, 24148316088 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 4148316088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4681728000).

4148316088 is an abundant number, since it is smaller than the sum of its proper divisors (5215139912).

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

4148316088 is a wasteful number, since it uses less digits than its factorization.

4148316088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48825 (or 48807 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 43.

The square root of 4148316088 is about 64407.4226157203. The cubic root of 4148316088 is about 1606.7831926719.

The spelling of 4148316088 in words is "four billion, one hundred forty-eight million, three hundred sixteen thousand, eighty-eight".

Divisors: 1 2 4 7 8 14 28 31 49 56 62 98 124 196 217 248 343 392 434 686 868 1372 1519 1736 2744 3038 6076 10633 12152 21266 42532 48767 85064 97534 195068 341369 390136 682738 1365476 1511777 2389583 2730952 3023554 4779166 6047108 9558332 10582439 12094216 16727081 19116664 21164878 33454162 42329756 66908324 74077073 84659512 133816648 148154146 296308292 518539511 592616584 1037079022 2074158044 4148316088