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1998377056 = 251331831867
BaseRepresentation
bin111011100011100…
…1101000001100000
312011021022001222001
41313013031001200
513043041031211
6530144053344
7100343632114
oct16707150140
95137261861
101998377056
11936039295
12479304254
1325b029740
1414d595744
15ba691ac1
hex771cd060

1998377056 has 96 divisors (see below), whose sum is σ = 4428684288. Its totient is φ = 881349120.

The previous prime is 1998377027. The next prime is 1998377077. The reversal of 1998377056 is 6507738991.

It is a junction number, because it is equal to n+sod(n) for n = 1998376988 and 1998377006.

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, 1069435 + ... + 1071301.

It is an arithmetic number, because the mean of its divisors is an integer number (46132128).

Almost surely, 21998377056 is an apocalyptic number.

1998377056 is a gapful number since it is divisible by the number (16) 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 1998377056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2214342144).

1998377056 is an abundant number, since it is smaller than the sum of its proper divisors (2430307232).

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

1998377056 is a wasteful number, since it uses less digits than its factorization.

1998377056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2004 (or 1996 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 55.

The square root of 1998377056 is about 44703.2108019100. The cubic root of 1998377056 is about 1259.5801607862.

The spelling of 1998377056 in words is "one billion, nine hundred ninety-eight million, three hundred seventy-seven thousand, fifty-six".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 83 104 124 166 208 248 332 403 416 496 664 806 992 1079 1328 1612 1867 2158 2573 2656 3224 3734 4316 5146 6448 7468 8632 10292 12896 14936 17264 20584 24271 29872 33449 34528 41168 48542 57877 59744 66898 82336 97084 115754 133796 154961 194168 231508 267592 309922 388336 463016 535184 619844 752401 776672 926032 1070368 1239688 1504802 1852064 2014493 2479376 3009604 4028986 4803791 4958752 6019208 8057972 9607582 12038416 16115944 19215164 24076832 32231888 38430328 62449283 64463776 76860656 124898566 153721312 249797132 499594264 999188528 1998377056