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3072697856 = 2937612659
BaseRepresentation
bin1011011100100101…
…1010011000000000
321221010211020001022
42313021122120000
522243102312411
61224522325012
7136100333534
oct26711323000
97833736038
103072697856
111337504418
12719059768
1339c789017
1421212bbc4
1512eb53edb
hexb725a600

3072697856 has 80 divisors (see below), whose sum is σ = 6411100080. Its totient is φ = 1469767680.

The previous prime is 3072697853. The next prime is 3072697883. The reversal of 3072697856 is 6587962703.

It is a super-2 number, since 2×30726978562 = 18882944228533993472, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3072697798 and 3072697807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3072697853) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1154255 + ... + 1156913.

It is an arithmetic number, because the mean of its divisors is an integer number (80138751).

Almost surely, 23072697856 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 3072697856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3205550040).

3072697856 is an abundant number, since it is smaller than the sum of its proper divisors (3338402224).

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

3072697856 is an equidigital number, since it uses as much as digits as its factorization.

3072697856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2775 (or 2759 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 53.

The square root of 3072697856 is about 55431.9209120521. The cubic root of 3072697856 is about 1453.8065430589.

The spelling of 3072697856 in words is "three billion, seventy-two million, six hundred ninety-seven thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 32 37 61 64 74 122 128 148 244 256 296 488 512 592 976 1184 1952 2257 2368 2659 3904 4514 4736 5318 7808 9028 9472 10636 15616 18056 18944 21272 31232 36112 42544 72224 85088 98383 144448 162199 170176 196766 288896 324398 340352 393532 577792 648796 680704 787064 1155584 1297592 1361408 1574128 2595184 3148256 5190368 6001363 6296512 10380736 12002726 12593024 20761472 24005452 25186048 41522944 48010904 50372096 83045888 96021808 192043616 384087232 768174464 1536348928 3072697856