Search a number
-
+
95631424 = 267239281
BaseRepresentation
bin1011011001100…
…11100001000000
320122221120122121
411230303201000
5143440201144
613253414024
72240565550
oct554634100
9218846577
1095631424
1149a88339
122803a314
1316a74255
14c9b5160
1585e0384
hex5b33840

95631424 has 56 divisors (see below), whose sum is σ = 226332288. Its totient is φ = 39198720.

The previous prime is 95631407. The next prime is 95631433. The reversal of 95631424 is 42413659.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 95631424.

It is an unprimeable number.

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, 5664 + ... + 14944.

It is an arithmetic number, because the mean of its divisors is an integer number (4041648).

Almost surely, 295631424 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 95631424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113166144).

95631424 is an abundant number, since it is smaller than the sum of its proper divisors (130700864).

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

95631424 is a wasteful number, since it uses less digits than its factorization.

95631424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9323 (or 9313 counting only the distinct ones).

The product of its digits is 25920, while the sum is 34.

The square root of 95631424 is about 9779.1320678269. The cubic root of 95631424 is about 457.2989535384.

The spelling of 95631424 in words is "ninety-five million, six hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 161 184 224 322 368 448 644 736 1288 1472 2576 5152 9281 10304 18562 37124 64967 74248 129934 148496 213463 259868 296992 426926 519736 593984 853852 1039472 1494241 1707704 2078944 2988482 3415408 4157888 5976964 6830816 11953928 13661632 23907856 47815712 95631424