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3022589472 = 253713932359
BaseRepresentation
bin1011010000101001…
…0000111000100000
321210122112110021020
42310022100320200
522142240330342
61215532325440
7134621405130
oct26412207040
97718473236
103022589472
11131119a231
12704313880
133922934a6
14209606ac0
1512a5570ec
hexb4290e20

3022589472 has 96 divisors (see below), whose sum is σ = 9133286400. Its totient is φ = 857357568.

The previous prime is 3022589429. The next prime is 3022589491. The reversal of 3022589472 is 2749852203.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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, 77229 + ... + 109587.

It is an arithmetic number, because the mean of its divisors is an integer number (95138400).

Almost surely, 23022589472 is an apocalyptic number.

3022589472 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 3022589472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4566643200).

3022589472 is an abundant number, since it is smaller than the sum of its proper divisors (6110696928).

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

3022589472 is a wasteful number, since it uses less digits than its factorization.

3022589472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32518 (or 32510 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 3022589472 is about 54978.0817417269. The cubic root of 3022589472 is about 1445.8604840438.

The spelling of 3022589472 in words is "three billion, twenty-two million, five hundred eighty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 139 168 224 278 336 417 556 672 834 973 1112 1668 1946 2224 2919 3336 3892 4448 5838 6672 7784 11676 13344 15568 23352 31136 32359 46704 64718 93408 97077 129436 194154 226513 258872 388308 453026 517744 679539 776616 906052 1035488 1359078 1553232 1812104 2718156 3106464 3624208 4497901 5436312 7248416 8995802 10872624 13493703 17991604 21745248 26987406 31485307 35983208 53974812 62970614 71966416 94455921 107949624 125941228 143932832 188911842 215899248 251882456 377823684 431798496 503764912 755647368 1007529824 1511294736 3022589472