Search a number
-
+
3900729712 = 2411233472777
BaseRepresentation
bin1110100010000000…
…0110100101110000
3101001211220121012211
43220200012211300
530442041322322
61443022101504
7165443440555
oct35040064560
911054817184
103900729712
111721950a70
1290a41a894
134a21a50b9
142900b2a2c
1517c6b6b77
hexe8806970

3900729712 has 80 divisors (see below), whose sum is σ = 8631090432. Its totient is φ = 1690472960.

The previous prime is 3900729683. The next prime is 3900729731. The reversal of 3900729712 is 2179270093.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1403268 + ... + 1406044.

Almost surely, 23900729712 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 3900729712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4315545216).

3900729712 is an abundant number, since it is smaller than the sum of its proper divisors (4730360720).

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

3900729712 is a wasteful number, since it uses less digits than its factorization.

3900729712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3166 (or 3160 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 40.

The square root of 3900729712 is about 62455.8220824928. The cubic root of 3900729712 is about 1574.1590824015.

The spelling of 3900729712 in words is "three billion, nine hundred million, seven hundred twenty-nine thousand, seven hundred twelve".

Divisors: 1 2 4 8 11 16 22 23 44 46 88 92 176 184 253 347 368 506 694 1012 1388 2024 2776 2777 3817 4048 5552 5554 7634 7981 11108 15268 15962 22216 30536 30547 31924 44432 61072 61094 63848 63871 87791 122188 127696 127742 175582 244376 255484 351164 488752 510968 702328 702581 963619 1021936 1404656 1405162 1927238 2810324 3854476 5620648 7708952 10599809 11241296 15417904 21199618 22163237 42399236 44326474 84798472 88652948 169596944 177305896 243795607 354611792 487591214 975182428 1950364856 3900729712