Search a number
-
+
3259855920 = 243535813793
BaseRepresentation
bin1100001001001101…
…0111010000110000
322102011222211122110
43002103113100300
523134010342140
61255250005320
7143532214056
oct30223272060
98364884573
103259855920
111423116002
1276b876840
133cc498039
1422cd2a1d6
151412c3380
hexc24d7430

3259855920 has 80 divisors (see below), whose sum is σ = 10111040352. Its totient is φ = 868823040.

The previous prime is 3259855919. The next prime is 3259855957. The reversal of 3259855920 is 295589523.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3259855920.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 857544 + ... + 861336.

Almost surely, 23259855920 is an apocalyptic number.

3259855920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3259855920 is an abundant number, since it is smaller than the sum of its proper divisors (6851184432).

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

3259855920 is a wasteful number, since it uses less digits than its factorization.

3259855920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7390 (or 7384 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 48.

The square root of 3259855920 is about 57095.1479549707. The cubic root of 3259855920 is about 1482.7438628476.

The spelling of 3259855920 in words is "three billion, two hundred fifty-nine million, eight hundred fifty-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 3581 3793 7162 7586 10743 11379 14324 15172 17905 18965 21486 22758 28648 30344 35810 37930 42972 45516 53715 56895 57296 60688 71620 75860 85944 91032 107430 113790 143240 151720 171888 182064 214860 227580 286480 303440 429720 455160 859440 910320 13582733 27165466 40748199 54330932 67913665 81496398 108661864 135827330 162992796 203740995 217323728 271654660 325985592 407481990 543309320 651971184 814963980 1086618640 1629927960 3259855920