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3816092952 = 23337217127167
BaseRepresentation
bin1110001101110100…
…1111010100011000
3100211221122121102000
43203131033110120
530303404433302
61430400041000
7163365153300
oct34335172430
910757577360
103816092952
1116890a3131
128a6003160
1348a7b0389
14282b60600
1517504931c
hexe374f518

3816092952 has 384 divisors, whose sum is σ = 13237862400. Its totient is φ = 1011999744.

The previous prime is 3816092933. The next prime is 3816092953. The reversal of 3816092952 is 2592906183.

3816092952 is a `hidden beast` number, since 38 + 1 + 609 + 2 + 9 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3816092898 and 3816092907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3816092953) 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 95 ways as a sum of consecutive naturals, for example, 22850773 + ... + 22850939.

It is an arithmetic number, because the mean of its divisors is an integer number (34473600).

Almost surely, 23816092952 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 3816092952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6618931200).

3816092952 is an abundant number, since it is smaller than the sum of its proper divisors (9421769448).

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

3816092952 is a wasteful number, since it uses less digits than its factorization.

3816092952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 3816092952 is about 61774.5331993695. The cubic root of 3816092952 is about 1562.6905344780.

The spelling of 3816092952 in words is "three billion, eight hundred sixteen million, ninety-two thousand, nine hundred fifty-two".