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94430032 = 24291131801
BaseRepresentation
bin1011010000011…
…10001101010000
320120200112122121
411220032031100
5143133230112
613211544024
72224433134
oct550161520
9216615577
1094430032
1149337754
122775b014
1316743478
14c7813c4
158454407
hex5a0e350

94430032 has 40 divisors (see below), whose sum is σ = 191048040. Its totient is φ = 45158400.

The previous prime is 94430027. The next prime is 94430033. The reversal of 94430032 is 23003449.

It can be written as a sum of positive squares in 4 ways, for example, as 1577536 + 92852496 = 1256^2 + 9636^2 .

It is a junction number, because it is equal to n+sod(n) for n = 94429979 and 94430006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (94430033) 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 7 ways as a sum of consecutive naturals, for example, 51532 + ... + 53332.

It is an arithmetic number, because the mean of its divisors is an integer number (4776201).

Almost surely, 294430032 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 94430032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95524020).

94430032 is an abundant number, since it is smaller than the sum of its proper divisors (96618008).

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

94430032 is a wasteful number, since it uses less digits than its factorization.

94430032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1951 (or 1945 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

The square root of 94430032 is about 9717.5116156349. The cubic root of 94430032 is about 455.3759031808.

It can be divided in two parts, 944 and 30032, that added together give a square (30976 = 1762).

The spelling of 94430032 in words is "ninety-four million, four hundred thirty thousand, thirty-two".

Divisors: 1 2 4 8 16 29 58 113 116 226 232 452 464 904 1801 1808 3277 3602 6554 7204 13108 14408 26216 28816 52229 52432 104458 203513 208916 407026 417832 814052 835664 1628104 3256208 5901877 11803754 23607508 47215016 94430032