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3946225136 = 2471011312663
BaseRepresentation
bin1110101100110110…
…1001110111110000
3101012000112000012112
43223031221313300
531040213201021
61451325144452
7166535234360
oct35315516760
911160460175
103946225136
1117455a5397
129216bb128
134ab744079
142961569a0
151816a1d5b
hexeb369df0

3946225136 has 80 divisors (see below), whose sum is σ = 8895287808. Its totient is φ = 1661088000.

The previous prime is 3946225133. The next prime is 3946225177. The reversal of 3946225136 is 6315226493.

It is a junction number, because it is equal to n+sod(n) for n = 3946225093 and 3946225102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3946225133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1480541 + ... + 1483203.

Almost surely, 23946225136 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 3946225136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4447643904).

3946225136 is an abundant number, since it is smaller than the sum of its proper divisors (4949062672).

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

3946225136 is a wasteful number, since it uses less digits than its factorization.

3946225136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2910 (or 2904 counting only the distinct ones).

The product of its digits is 233280, while the sum is 41.

The square root of 3946225136 is about 62818.9870660137. The cubic root of 3946225136 is about 1580.2554113616.

The spelling of 3946225136 in words is "three billion, nine hundred forty-six million, two hundred twenty-five thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 56 101 112 131 202 262 404 524 707 808 917 1048 1414 1616 1834 2096 2663 2828 3668 5326 5656 7336 10652 11312 13231 14672 18641 21304 26462 37282 42608 52924 74564 92617 105848 149128 185234 211696 268963 298256 348853 370468 537926 697706 740936 1075852 1395412 1481872 1882741 2151704 2441971 2790824 3765482 4303408 4883942 5581648 7530964 9767884 15061928 19535768 30123856 35234153 39071536 70468306 140936612 246639071 281873224 493278142 563746448 986556284 1973112568 3946225136