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4012267392 = 273372192943
BaseRepresentation
bin1110111100100110…
…0101011110000000
3101100121210022011000
43233021211132000
531204120024032
61502044452000
7201266465400
oct35711453600
911317708130
104012267392
111779902971
1293b84a000
134bc328323
142a0c28800
15187399e7c
hexef265780

4012267392 has 768 divisors, whose sum is σ = 15348960000. Its totient is φ = 1024192512.

The previous prime is 4012267313. The next prime is 4012267397. The reversal of 4012267392 is 2937622104.

4012267392 is a `hidden beast` number, since 4 + 0 + 1 + 2 + 267 + 392 = 666.

4012267392 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4012267397) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 93308523 + ... + 93308565.

It is an arithmetic number, because the mean of its divisors is an integer number (19985625).

Almost surely, 24012267392 is an apocalyptic number.

4012267392 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4012267392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7674480000).

4012267392 is an abundant number, since it is smaller than the sum of its proper divisors (11336692608).

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

4012267392 is a wasteful number, since it uses less digits than its factorization.

4012267392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 4012267392 is about 63342.4612088921. The cubic root of 4012267392 is about 1589.0221684371.

Adding to 4012267392 its reverse (2937622104), we get a palindrome (6949889496).

The spelling of 4012267392 in words is "four billion, twelve million, two hundred sixty-seven thousand, three hundred ninety-two".