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2047590288 = 2432109191683
BaseRepresentation
bin111101000001011…
…1011111110010000
312021200220100211100
41322002323332100
513143140342123
6535102544400
7101512141662
oct17202737620
95250810740
102047590288
119608a1987
12491898100
1326829a9b3
14155d26532
15beb63643
hex7a0bbf90

2047590288 has 120 divisors (see below), whose sum is σ = 5821770240. Its totient is φ = 671742720.

The previous prime is 2047590277. The next prime is 2047590289. The reversal of 2047590288 is 8820957402.

It is not an unprimeable number, because it can be changed into a prime (2047590289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2997595 + ... + 2998277.

It is an arithmetic number, because the mean of its divisors is an integer number (48514752).

Almost surely, 22047590288 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 2047590288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2910885120).

2047590288 is an abundant number, since it is smaller than the sum of its proper divisors (3774179952).

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

2047590288 is a wasteful number, since it uses less digits than its factorization.

2047590288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 2047590288 is about 45250.3070486820. The cubic root of 2047590288 is about 1269.8361513877.

The spelling of 2047590288 in words is "two billion, forty-seven million, five hundred ninety thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 109 144 191 218 327 382 436 573 654 683 764 872 981 1146 1308 1366 1528 1719 1744 1962 2049 2292 2616 2732 3056 3438 3924 4098 4584 5232 5464 6147 6876 7848 8196 9168 10928 12294 13752 15696 16392 20819 24588 27504 32784 41638 49176 62457 74447 83276 98352 124914 130453 148894 166552 187371 223341 249828 260906 297788 333104 374742 391359 446682 499656 521812 595576 670023 749484 782718 893364 999312 1043624 1174077 1191152 1340046 1498968 1565436 1786728 2087248 2348154 2680092 2997936 3130872 3573456 4696308 5360184 6261744 9392616 10720368 14219377 18785232 28438754 42658131 56877508 85316262 113755016 127974393 170632524 227510032 255948786 341265048 511897572 682530096 1023795144 2047590288