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1985799552 = 273112511873
BaseRepresentation
bin111011001011100…
…1110010110000000
312010101122001212120
41312113032112000
513031331041202
6525014324240
7100132006032
oct16627162600
95111561776
101985799552
11929a28660
12475059680
13258544929
1414ba3dc52
15b950a0bc
hex765ce580

1985799552 has 128 divisors (see below), whose sum is σ = 5780315520. Its totient is φ = 599040000.

The previous prime is 1985799547. The next prime is 1985799593. The reversal of 1985799552 is 2559975891.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1059288 + ... + 1061160.

It is an arithmetic number, because the mean of its divisors is an integer number (45158715).

Almost surely, 21985799552 is an apocalyptic number.

1985799552 is a gapful number since it is divisible by the number (12) 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 1985799552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2890157760).

1985799552 is an abundant number, since it is smaller than the sum of its proper divisors (3794515968).

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

1985799552 is a wasteful number, since it uses less digits than its factorization.

1985799552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2152 (or 2140 counting only the distinct ones).

The product of its digits is 10206000, while the sum is 60.

The square root of 1985799552 is about 44562.3108916044. The cubic root of 1985799552 is about 1256.9320572954.

The spelling of 1985799552 in words is "one billion, nine hundred eighty-five million, seven hundred ninety-nine thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 251 264 352 384 502 528 704 753 1004 1056 1408 1506 1873 2008 2112 2761 3012 3746 4016 4224 5522 5619 6024 7492 8032 8283 11044 11238 12048 14984 16064 16566 20603 22088 22476 24096 29968 32128 33132 41206 44176 44952 48192 59936 61809 66264 82412 88352 89904 96384 119872 123618 132528 164824 176704 179808 239744 247236 265056 329648 353408 359616 470123 494472 530112 659296 719232 940246 988944 1060224 1318592 1410369 1880492 1977888 2637184 2820738 3760984 3955776 5171353 5641476 7521968 7911552 10342706 11282952 15043936 15514059 20685412 22565904 30087872 31028118 41370824 45131808 60175744 62056236 82741648 90263616 124112472 165483296 180527232 248224944 330966592 496449888 661933184 992899776 1985799552