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3967936092 = 2233372933389
BaseRepresentation
bin1110110010000001…
…1110011001011100
3101020112101001001000
43230200132121130
531111242423332
61453422350300
7200220620541
oct35440363134
911215331030
103967936092
11175688412a
12928a2b390
134b30a61a3
14298da8bc8
1518353eb7c
hexec81e65c

3967936092 has 96 divisors (see below), whose sum is σ = 10604462400. Its totient is φ = 1282127616.

The previous prime is 3967936087. The next prime is 3967936099. The reversal of 3967936092 is 2906397693.

It is a happy number.

3967936092 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 (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3967936099) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1169134 + ... + 1172522.

It is an arithmetic number, because the mean of its divisors is an integer number (110463150).

Almost surely, 23967936092 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 3967936092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5302231200).

3967936092 is an abundant number, since it is smaller than the sum of its proper divisors (6636526308).

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

3967936092 is a wasteful number, since it uses less digits than its factorization.

3967936092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3732 (or 3724 counting only the distinct ones).

The product of its (nonzero) digits is 3306744, while the sum is 54.

The square root of 3967936092 is about 62991.5557197947. Note that the first 3 decimals coincide. The cubic root of 3967936092 is about 1583.1481444671.

The spelling of 3967936092 in words is "three billion, nine hundred sixty-seven million, nine hundred thirty-six thousand, ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 148 222 293 333 444 586 666 879 999 1172 1332 1758 1998 2637 3389 3516 3996 5274 6778 7911 10167 10548 10841 13556 15822 20334 21682 30501 31644 32523 40668 43364 61002 65046 91503 97569 122004 125393 130092 183006 195138 250786 292707 366012 376179 390276 501572 585414 752358 992977 1128537 1170828 1504716 1985954 2257074 2978931 3385611 3971908 4514148 5957862 6771222 8936793 11915724 13542444 17873586 26810379 35747172 36740149 53620758 73480298 107241516 110220447 146960596 220440894 330661341 440881788 661322682 991984023 1322645364 1983968046 3967936092