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89967942 = 2333721217
BaseRepresentation
bin1010101110011…
…00110101000110
320021021211211000
411113030311012
5141012433232
612532154130
72141500131
oct527146506
9207254730
1089967942
114686a279
1226168946
131584048c
14bd3d218
157d7227c
hex55ccd46

89967942 has 48 divisors (see below), whose sum is σ = 205647120. Its totient is φ = 29154816.

The previous prime is 89967931. The next prime is 89967949. The reversal of 89967942 is 24976998.

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 (89967949) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73318 + ... + 74534.

It is an arithmetic number, because the mean of its divisors is an integer number (4284315).

Almost surely, 289967942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89967942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102823560).

89967942 is an abundant number, since it is smaller than the sum of its proper divisors (115679178).

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

89967942 is a wasteful number, since it uses less digits than its factorization.

89967942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1302 (or 1259 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The square root of 89967942 is about 9485.1432250652. The cubic root of 89967942 is about 448.0872591244.

It can be divided in two parts, 89967 and 942, that added together give a palindrome (90909).

The spelling of 89967942 in words is "eighty-nine million, nine hundred sixty-seven thousand, nine hundred forty-two".

Divisors: 1 2 3 6 9 18 27 37 54 74 111 222 333 666 999 1217 1369 1998 2434 2738 3651 4107 7302 8214 10953 12321 21906 24642 32859 36963 45029 65718 73926 90058 135087 270174 405261 810522 1215783 1666073 2431566 3332146 4998219 9996438 14994657 29989314 44983971 89967942