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89385044 = 22719237239
BaseRepresentation
bin1010101001111…
…10100001010100
320020012020020012
411110332201110
5140340310134
612511455352
72133521540
oct524764124
9206166205
1089385044
1146501341
1225b27558
1315698078
14bc2aa20
157ca96ce
hex553e854

89385044 has 72 divisors (see below), whose sum is σ = 194584320. Its totient is φ = 35163072.

The previous prime is 89385041. The next prime is 89385053. The reversal of 89385044 is 44058398.

It is a junction number, because it is equal to n+sod(n) for n = 89384992 and 89385010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89385041) 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 23 ways as a sum of consecutive naturals, for example, 373877 + ... + 374115.

It is an arithmetic number, because the mean of its divisors is an integer number (2702560).

Almost surely, 289385044 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 89385044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97292160).

89385044 is an abundant number, since it is smaller than the sum of its proper divisors (105199276).

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

89385044 is a wasteful number, since it uses less digits than its factorization.

89385044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 41.

The square root of 89385044 is about 9454.3663986541. The cubic root of 89385044 is about 447.1174496645.

The spelling of 89385044 in words is "eighty-nine million, three hundred eighty-five thousand, forty-four".

Divisors: 1 2 4 7 14 19 28 37 38 74 76 133 148 239 259 266 361 478 518 532 703 722 956 1036 1406 1444 1673 2527 2812 3346 4541 4921 5054 6692 8843 9082 9842 10108 13357 17686 18164 19684 26714 31787 35372 53428 61901 63574 86279 93499 123802 127148 168017 172558 186998 247604 336034 345116 373996 603953 672068 1176119 1207906 2352238 2415812 3192323 4704476 6384646 12769292 22346261 44692522 89385044