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1985671424 = 28111375147
BaseRepresentation
bin111011001011010…
…1111000100000000
312010101101120010002
41312112233010000
513031312441144
6525011455132
7100130633342
oct16626570400
95111346102
101985671424
11929950370
12474bb74a8
132584cb509
1414ba09292
15b94d214e
hex765af100

1985671424 has 72 divisors (see below), whose sum is σ = 4356319968. Its totient is φ = 895815680.

The previous prime is 1985671411. The next prime is 1985671469. The reversal of 1985671424 is 4241765891.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 383219 + ... + 388365.

It is an arithmetic number, because the mean of its divisors is an integer number (60504444).

Almost surely, 21985671424 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 1985671424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2178159984).

1985671424 is an abundant number, since it is smaller than the sum of its proper divisors (2370648544).

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

1985671424 is a wasteful number, since it uses less digits than its factorization.

1985671424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5311 (or 5297 counting only the distinct ones).

The product of its digits is 483840, while the sum is 47.

The square root of 1985671424 is about 44560.8732409947. The cubic root of 1985671424 is about 1256.9050234063.

It can be divided in two parts, 198567 and 1424, that added together give a palindrome (199991).

The spelling of 1985671424 in words is "one billion, nine hundred eighty-five million, six hundred seventy-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 137 176 256 274 352 548 704 1096 1408 1507 2192 2816 3014 4384 5147 6028 8768 10294 12056 17536 20588 24112 35072 41176 48224 56617 82352 96448 113234 164704 192896 226468 329408 385792 452936 658816 705139 905872 1317632 1410278 1811744 2820556 3623488 5641112 7246976 7756529 11282224 14493952 15513058 22564448 31026116 45128896 62052232 90257792 124104464 180515584 248208928 496417856 992835712 1985671424