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889419944 = 237191097669
BaseRepresentation
bin110101000000110…
…111100010101000
32021222121012210102
4311000313202220
53310142414234
6224131204532
731016642030
oct6500674250
92258535712
10889419944
11417066406
12209a46748
13112360aba
14861a48c0
155313bc7e
hex350378a8

889419944 has 64 divisors (see below), whose sum is σ = 2024880000. Its totient is φ = 357758208.

The previous prime is 889419941. The next prime is 889419961. The reversal of 889419944 is 449914988.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a self number, because there is not a number n which added to its sum of digits gives 889419944.

It is not an unprimeable number, because it can be changed into a prime (889419941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112142 + ... + 119810.

It is an arithmetic number, because the mean of its divisors is an integer number (31638750).

Almost surely, 2889419944 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 889419944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1012440000).

889419944 is an abundant number, since it is smaller than the sum of its proper divisors (1135460056).

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

889419944 is a wasteful number, since it uses less digits than its factorization.

889419944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7810 (or 7806 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 56.

The square root of 889419944 is about 29823.1444351530. The cubic root of 889419944 is about 961.6911539203.

The spelling of 889419944 in words is "eight hundred eighty-nine million, four hundred nineteen thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 109 133 152 218 266 436 532 763 872 1064 1526 2071 3052 4142 6104 7669 8284 14497 15338 16568 28994 30676 53683 57988 61352 107366 115976 145711 214732 291422 429464 582844 835921 1019977 1165688 1671842 2039954 3343684 4079908 5851447 6687368 8159816 11702894 15882499 23405788 31764998 46811576 63529996 111177493 127059992 222354986 444709972 889419944