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4138363392 = 29323911273
BaseRepresentation
bin1111011010101010…
…0110101000000000
3101200102001122100020
43312222212220000
531433410112032
61522351253440
7204360336252
oct36652465000
911612048306
104138363392
111833aa8739
12975b1a280
1350c4a7b47
142b388dcd2
151934a6b2c
hexf6aa6a00

4138363392 has 80 divisors (see below), whose sum is σ = 11071969920. Its totient is φ = 1373560832.

The previous prime is 4138363379. The next prime is 4138363393. The reversal of 4138363392 is 2933638314.

It is not an unprimeable number, because it can be changed into a prime (4138363393) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 361468 + ... + 372740.

It is an arithmetic number, because the mean of its divisors is an integer number (138399624).

Almost surely, 24138363392 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 4138363392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5535984960).

4138363392 is an abundant number, since it is smaller than the sum of its proper divisors (6933606528).

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

4138363392 is a wasteful number, since it uses less digits than its factorization.

4138363392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11533 (or 11517 counting only the distinct ones).

The product of its digits is 279936, while the sum is 42.

The square root of 4138363392 is about 64330.1126378619. The cubic root of 4138363392 is about 1605.4971583183.

The spelling of 4138363392 in words is "four billion, one hundred thirty-eight million, three hundred sixty-three thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 239 256 384 478 512 717 768 956 1434 1536 1912 2868 3824 5736 7648 11273 11472 15296 22546 22944 30592 33819 45092 45888 61184 67638 90184 91776 122368 135276 180368 183552 270552 360736 367104 541104 721472 1082208 1442944 2164416 2694247 2885888 4328832 5388494 5771776 8082741 8657664 10776988 16165482 17315328 21553976 32330964 43107952 64661928 86215904 129323856 172431808 258647712 344863616 517295424 689727232 1034590848 1379454464 2069181696 4138363392