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3047244832 = 251729233829
BaseRepresentation
bin1011010110100001…
…0100010000100000
321212100221002001201
42311220110100200
522220043313312
61222213010544
7135341103502
oct26550242040
97770832051
103047244832
1113240aa165
12710623a54
13397416868
1420c9c3d72
1512c7c7557
hexb5a14420

3047244832 has 96 divisors (see below), whose sum is σ = 6607364400. Its totient is φ = 1376944128.

The previous prime is 3047244821. The next prime is 3047244839. The reversal of 3047244832 is 2384427403.

It can be written as a sum of positive squares in 8 ways, for example, as 1642194576 + 1405050256 = 40524^2 + 37484^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3047244791 and 3047244800.

It is not an unprimeable number, because it can be changed into a prime (3047244839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3675394 + ... + 3676222.

Almost surely, 23047244832 is an apocalyptic number.

3047244832 is a gapful number since it is divisible by the number (32) 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 3047244832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3303682200).

3047244832 is an abundant number, since it is smaller than the sum of its proper divisors (3560119568).

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

3047244832 is a wasteful number, since it uses less digits than its factorization.

3047244832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 37.

The square root of 3047244832 is about 55201.8553311390. The cubic root of 3047244832 is about 1449.7811531783.

The spelling of 3047244832 in words is "three billion, forty-seven million, two hundred forty-four thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 16 17 29 32 34 58 68 116 136 232 233 272 464 466 493 544 829 928 932 986 1658 1864 1972 3316 3728 3944 3961 6632 6757 7456 7888 7922 13264 13514 14093 15776 15844 24041 26528 27028 28186 31688 48082 54056 56372 63376 96164 108112 112744 114869 126752 192328 193157 216224 225488 229738 384656 386314 408697 450976 459476 769312 772628 817394 918952 1545256 1634788 1837904 3090512 3269576 3283669 3675808 5601553 6181024 6539152 6567338 11203106 13078304 13134676 22406212 26269352 44812424 52538704 89624848 95226401 105077408 179249696 190452802 380905604 761811208 1523622416 3047244832