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1003399992 = 233274742359
BaseRepresentation
bin111011110011101…
…010101100111000
32120221002000000200
4323303222230320
54023332244432
6243322202200
733602521260
oct7363525470
92527060020
101003399992
114754362a1
12240053360
1312cb5a90a
14973947a0
155d153a7c
hex3bceab38

1003399992 has 96 divisors (see below), whose sum is σ = 3171916800. Its totient is φ = 280579392.

The previous prime is 1003399987. The next prime is 1003400009. The reversal of 1003399992 is 2999933001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2509 + ... + 44867.

It is an arithmetic number, because the mean of its divisors is an integer number (33040800).

Almost surely, 21003399992 is an apocalyptic number.

1003399992 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 1003399992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585958400).

1003399992 is an abundant number, since it is smaller than the sum of its proper divisors (2168516808).

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

1003399992 is a wasteful number, since it uses less digits than its factorization.

1003399992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42425 (or 42418 counting only the distinct ones).

The product of its (nonzero) digits is 118098, while the sum is 45.

The square root of 1003399992 is about 31676.4895782345. The cubic root of 1003399992 is about 1001.1320486489.

The spelling of 1003399992 in words is "one billion, three million, three hundred ninety-nine thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 47 56 63 72 84 94 126 141 168 188 252 282 329 376 423 504 564 658 846 987 1128 1316 1692 1974 2632 2961 3384 3948 5922 7896 11844 23688 42359 84718 127077 169436 254154 296513 338872 381231 508308 593026 762462 889539 1016616 1186052 1524924 1779078 1990873 2372104 2668617 3049848 3558156 3981746 5337234 5972619 7116312 7963492 10674468 11945238 13936111 15926984 17917857 21348936 23890476 27872222 35835714 41808333 47780952 55744444 71671428 83616666 111488888 125424999 143342856 167233332 250849998 334466664 501699996 1003399992