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2039363984 = 247291314793
BaseRepresentation
bin111100110001110…
…0011100110010000
312021010102102110102
41321203203212100
513134034121414
6534210351532
7101352210410
oct17143434620
95233372412
102039363984
11957193389
1248ab8b5a8
1326667a568
14154bc4640
15be08aede
hex798e3990

2039363984 has 80 divisors (see below), whose sum is σ = 4708091520. Its totient is φ = 837258240.

The previous prime is 2039363971. The next prime is 2039363999. The reversal of 2039363984 is 4893639302.

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, 423092 + ... + 427884.

It is an arithmetic number, because the mean of its divisors is an integer number (58851144).

Almost surely, 22039363984 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 2039363984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2354045760).

2039363984 is an abundant number, since it is smaller than the sum of its proper divisors (2668727536).

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

2039363984 is a wasteful number, since it uses less digits than its factorization.

2039363984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4968 (or 4962 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 47.

The square root of 2039363984 is about 45159.3177982130. The cubic root of 2039363984 is about 1268.1333239584.

The spelling of 2039363984 in words is "two billion, thirty-nine million, three hundred sixty-three thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 112 116 131 203 232 262 406 464 524 812 917 1048 1624 1834 2096 3248 3668 3799 4793 7336 7598 9586 14672 15196 19172 26593 30392 33551 38344 53186 60784 67102 76688 106372 134204 138997 212744 268408 277994 425488 536816 555988 627883 972979 1111976 1255766 1945958 2223952 2511532 3891916 4395181 5023064 7783832 8790362 10046128 15567664 17580724 18208607 35161448 36417214 70322896 72834428 127460249 145668856 254920498 291337712 509840996 1019681992 2039363984