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3250880256 = 28313833923
BaseRepresentation
bin1100000111000100…
…0111111100000000
322101120002211100110
43001301013330000
523124211132011
61254325351320
7143363012001
oct30161077400
98346084313
103250880256
1114190454a8
12768868540
133ca6747b0
1422ba711a8
151405edba6
hexc1c47f00

3250880256 has 144 divisors (see below), whose sum is σ = 9432291456. Its totient is φ = 987967488.

The previous prime is 3250880249. The next prime is 3250880279. The reversal of 3250880256 is 6520880523.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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, 826711 + ... + 830633.

It is an arithmetic number, because the mean of its divisors is an integer number (65502024).

Almost surely, 23250880256 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 3250880256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4716145728).

3250880256 is an abundant number, since it is smaller than the sum of its proper divisors (6181411200).

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

3250880256 is a wasteful number, since it uses less digits than its factorization.

3250880256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4038 (or 4024 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 3250880256 is about 57016.4910881054. The cubic root of 3250880256 is about 1481.3817531544.

The spelling of 3250880256 in words is "three billion, two hundred fifty million, eight hundred eighty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 83 96 104 128 156 166 192 208 249 256 312 332 384 416 498 624 664 768 832 996 1079 1248 1328 1664 1992 2158 2496 2656 3237 3328 3923 3984 4316 4992 5312 6474 7846 7968 8632 9984 10624 11769 12948 15692 15936 17264 21248 23538 25896 31384 31872 34528 47076 50999 51792 62768 63744 69056 94152 101998 103584 125536 138112 152997 188304 203996 207168 251072 276224 305994 325609 376608 407992 414336 502144 611988 651218 753216 815984 828672 976827 1004288 1223976 1302436 1506432 1631968 1953654 2447952 2604872 3012864 3263936 3907308 4232917 4895904 5209744 6527872 7814616 8465834 9791808 10419488 12698751 13055744 15629232 16931668 19583616 20838976 25397502 31258464 33863336 39167232 41677952 50795004 62516928 67726672 83355904 101590008 125033856 135453344 203180016 250067712 270906688 406360032 541813376 812720064 1083626752 1625440128 3250880256