Search a number
-
+
4139492640 = 253544919207
BaseRepresentation
bin1111011010111011…
…1010010100100000
3101200111012000101020
43312232322110200
531434202231030
61522431405440
7204403051443
oct36656722440
911614160336
104139492640
1118346aa0a8
12976383880
1350c7b1b3a
142b3aa565a
1519362b510
hexf6bba520

4139492640 has 96 divisors (see below), whose sum is σ = 13069123200. Its totient is φ = 1101348864.

The previous prime is 4139492633. The next prime is 4139492659. The reversal of 4139492640 is 462949314.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×41394926402 = 34270798633228339200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4139492592 and 4139492601.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 205917 + ... + 225123.

It is an arithmetic number, because the mean of its divisors is an integer number (136136700).

Almost surely, 24139492640 is an apocalyptic number.

4139492640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4139492640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6534561600).

4139492640 is an abundant number, since it is smaller than the sum of its proper divisors (8929630560).

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

4139492640 is a wasteful number, since it uses less digits than its factorization.

4139492640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19674 (or 19666 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 4139492640 is about 64338.8890174520. The cubic root of 4139492640 is about 1605.6431773603.

The spelling of 4139492640 in words is "four billion, one hundred thirty-nine million, four hundred ninety-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 449 480 898 1347 1796 2245 2694 3592 4490 5388 6735 7184 8980 10776 13470 14368 17960 19207 21552 26940 35920 38414 43104 53880 57621 71840 76828 96035 107760 115242 153656 192070 215520 230484 288105 307312 384140 460968 576210 614624 768280 921936 1152420 1536560 1843872 2304840 3073120 4609680 8623943 9219360 17247886 25871829 34495772 43119715 51743658 68991544 86239430 103487316 129359145 137983088 172478860 206974632 258718290 275966176 344957720 413949264 517436580 689915440 827898528 1034873160 1379830880 2069746320 4139492640