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980419888 = 2473129109
BaseRepresentation
bin111010011100000…
…000010100110000
32112022211111020201
4322130000110300
54001441414023
6241141444544
733203301010
oct7234002460
92468744221
10980419888
1146346aa78
12234410754
13128172c16
14942d1c40
155b114bad
hex3a700530

980419888 has 60 divisors (see below), whose sum is σ = 2243465040. Its totient is φ = 406581120.

The previous prime is 980419883. The next prime is 980419927. The reversal of 980419888 is 888914089.

It is a super-2 number, since 2×9804198882 = 1922446313571865088, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (980419883) 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 11 ways as a sum of consecutive naturals, for example, 103078 + ... + 112186.

It is an arithmetic number, because the mean of its divisors is an integer number (37391084).

Almost surely, 2980419888 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 980419888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1121732520).

980419888 is an abundant number, since it is smaller than the sum of its proper divisors (1263045152).

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

980419888 is a wasteful number, since it uses less digits than its factorization.

980419888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9186 (or 9149 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 55.

The square root of 980419888 is about 31311.6573818762. The cubic root of 980419888 is about 993.4302286253.

It can be divided in two parts, 9804 and 19888, that added together give a palindrome (29692).

The spelling of 980419888 in words is "nine hundred eighty million, four hundred nineteen thousand, eight hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 217 248 434 496 868 961 1736 1922 3472 3844 6727 7688 9109 13454 15376 18218 26908 36436 53816 63763 72872 107632 127526 145744 255052 282379 510104 564758 1020208 1129516 1976653 2259032 3953306 4518064 7906612 8753749 15813224 17507498 31626448 35014996 61276243 70029992 122552486 140059984 245104972 490209944 980419888