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89338752 = 273277551
BaseRepresentation
bin1010101001100…
…11001110000000
320020002212201200
411110303032000
5140332320002
612510501200
72133236556
oct524631600
9206085650
1089338752
114647a588
1225b04800
131567cc89
14bc17bd6
157c9ab1c
hex5533380

89338752 has 48 divisors (see below), whose sum is σ = 257084880. Its totient is φ = 29779200.

The previous prime is 89338751. The next prime is 89338759. The reversal of 89338752 is 25783398.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 89338698 and 89338707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89338751) 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 5 ways as a sum of consecutive naturals, for example, 37624 + ... + 39927.

It is an arithmetic number, because the mean of its divisors is an integer number (5355935).

Almost surely, 289338752 is an apocalyptic number.

It is an amenable number.

89338752 is an abundant number, since it is smaller than the sum of its proper divisors (167746128).

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

89338752 is a wasteful number, since it uses less digits than its factorization.

89338752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77571 (or 77556 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 89338752 is about 9451.9179006168. The cubic root of 89338752 is about 447.0402498177.

The spelling of 89338752 in words is "eighty-nine million, three hundred thirty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 77551 155102 232653 310204 465306 620408 697959 930612 1240816 1395918 1861224 2481632 2791836 3722448 4963264 5583672 7444896 9926528 11167344 14889792 22334688 29779584 44669376 89338752