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95389434 = 2337409617
BaseRepresentation
bin1011010111110…
…00011011111010
320122111021201000
411223320123322
5143404430214
613244305430
72235540210
oct553703372
9218437630
1095389434
1149932548
1227b42276
13169bb06a
14c950cb0
158593809
hex5af86fa

95389434 has 64 divisors (see below), whose sum is σ = 243244800. Its totient is φ = 27143424.

The previous prime is 95389429. The next prime is 95389451. The reversal of 95389434 is 43498359.

It is a happy number.

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 self number, because there is not a number n which added to its sum of digits gives 95389434.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154294 + ... + 154910.

It is an arithmetic number, because the mean of its divisors is an integer number (3800700).

Almost surely, 295389434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95389434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121622400).

95389434 is an abundant number, since it is smaller than the sum of its proper divisors (147855366).

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

95389434 is a wasteful number, since it uses less digits than its factorization.

95389434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044 (or 1038 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 95389434 is about 9766.7514558322. The cubic root of 95389434 is about 456.9129045399.

The spelling of 95389434 in words is "ninety-five million, three hundred eighty-nine thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 409 617 818 1227 1234 1851 2454 2863 3681 3702 4319 5553 5726 7362 8589 8638 11043 11106 12957 16659 17178 22086 25767 25914 33318 38871 51534 77301 77742 116613 154602 233226 252353 504706 757059 1514118 1766471 2271177 3532942 4542354 5299413 6813531 10598826 13627062 15898239 31796478 47694717 95389434