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5782992 = 2431719373
BaseRepresentation
bin10110000011110111010000
3101212210202220
4112003313100
52440023432
6323541040
7100104015
oct26036720
911783686
105782992
11329a936
121b2a780
1312762b7
14aa770c
1579372c
hex583dd0

5782992 has 80 divisors (see below), whose sum is σ = 16695360. Its totient is φ = 1714176.

The previous prime is 5782981. The next prime is 5782993. The reversal of 5782992 is 2992875.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

Its product of digits (90720) is a multiple of the sum of its prime factors (420).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5782993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15318 + ... + 15690.

It is an arithmetic number, because the mean of its divisors is an integer number (208692).

Almost surely, 25782992 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 5782992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8347680).

5782992 is an abundant number, since it is smaller than the sum of its proper divisors (10912368).

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

5782992 is a wasteful number, since it uses less digits than its factorization.

5782992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 414 counting only the distinct ones).

The product of its digits is 90720, while the sum is 42.

The square root of 5782992 is about 2404.7852294956. The cubic root of 5782992 is about 179.4943835322.

It can be divided in two parts, 578 and 2992, that added together give a triangular number (3570 = T84).

The spelling of 5782992 in words is "five million, seven hundred eighty-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 34 38 48 51 57 68 76 102 114 136 152 204 228 272 304 323 373 408 456 646 746 816 912 969 1119 1292 1492 1938 2238 2584 2984 3876 4476 5168 5968 6341 7087 7752 8952 12682 14174 15504 17904 19023 21261 25364 28348 38046 42522 50728 56696 76092 85044 101456 113392 120479 152184 170088 240958 304368 340176 361437 481916 722874 963832 1445748 1927664 2891496 5782992