Search a number
-
+
882890496 = 2833127733
BaseRepresentation
bin110100100111111…
…101011100000000
32021112022111002000
4310213331130000
53302004443441
6223335224000
730610305525
oct6447753400
92245274060
10882890496
11413406774
12207818000
13110bb5b17
148538514c
155279c2b6
hex349fd700

882890496 has 72 divisors (see below), whose sum is σ = 2610882960. Its totient is φ = 294294528.

The previous prime is 882890431. The next prime is 882890497. The reversal of 882890496 is 694098288.

882890496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (882890497) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56955 + ... + 70778.

Almost surely, 2882890496 is an apocalyptic number.

It is an amenable number.

882890496 is an abundant number, since it is smaller than the sum of its proper divisors (1727992464).

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

882890496 is a wasteful number, since it uses less digits than its factorization.

882890496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127758 (or 127738 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The square root of 882890496 is about 29713.4733075755. The cubic root of 882890496 is about 959.3320353403.

The spelling of 882890496 in words is "eight hundred eighty-two million, eight hundred ninety thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 6912 127733 255466 383199 510932 766398 1021864 1149597 1532796 2043728 2299194 3065592 3448791 4087456 4598388 6131184 6897582 8174912 9196776 12262368 13795164 16349824 18393552 24524736 27590328 32699648 36787104 49049472 55180656 73574208 98098944 110361312 147148416 220722624 294296832 441445248 882890496