[go: up one dir, main page]

Search a number
-
+
3936536982 = 23474773859
BaseRepresentation
bin1110101010100010…
…1100100110010110
3101011100021210120000
43222220230212112
531030223140412
61450341352130
7166360004130
oct35250544626
911140253500
103936536982
111740088554
1291a408646
134a9731431
14294b54050
151808db4dc
hexeaa2c996

3936536982 has 80 divisors (see below), whose sum is σ = 10295493120. Its totient is φ = 1100779632.

The previous prime is 3936536971. The next prime is 3936536987. The reversal of 3936536982 is 2896356393.

3936536982 is digitally balanced in base 2, because in such base 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 (3936536987) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16369 + ... + 90227.

It is an arithmetic number, because the mean of its divisors is an integer number (128693664).

Almost surely, 23936536982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3936536982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5147746560).

3936536982 is an abundant number, since it is smaller than the sum of its proper divisors (6358956138).

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

3936536982 is a wasteful number, since it uses less digits than its factorization.

3936536982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73927 (or 73918 counting only the distinct ones).

The product of its digits is 6298560, while the sum is 54.

The square root of 3936536982 is about 62741.8280097098. The cubic root of 3936536982 is about 1578.9611530870.

The spelling of 3936536982 in words is "three billion, nine hundred thirty-six million, five hundred thirty-six thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 47 54 63 81 94 126 141 162 189 282 329 378 423 567 658 846 987 1134 1269 1974 2538 2961 3807 5922 7614 8883 17766 26649 53298 73859 147718 221577 443154 517013 664731 1034026 1329462 1551039 1994193 3102078 3471373 3988386 4653117 5982579 6942746 9306234 10414119 11965158 13959351 20828238 24299611 27918702 31242357 41878053 48599222 62484714 72898833 83756106 93727071 145797666 187454142 218696499 281181213 437392998 562362426 656089497 1312178994 1968268491 3936536982