Search a number
-
+
95535104 = 2147317
BaseRepresentation
bin1011011000111…
…00000000000000
320122202200112012
411230130000000
5143424110404
613251352052
72240015000
oct554340000
9218680465
1095535104
1149a21a35
1227bb2628
1316a3c462
14c98c000
1585c1a6e
hex5b1c000

95535104 has 120 divisors (see below), whose sum is σ = 235922400. Its totient is φ = 38535168.

The previous prime is 95535079. The next prime is 95535107. The reversal of 95535104 is 40153559.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95535107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5619704 + ... + 5619720.

It is an arithmetic number, because the mean of its divisors is an integer number (1966020).

Almost surely, 295535104 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 95535104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117961200).

95535104 is an abundant number, since it is smaller than the sum of its proper divisors (140387296).

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

95535104 is an frugal number, since it uses more digits than its factorization.

95535104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 32.

The square root of 95535104 is about 9774.2060547136. The cubic root of 95535104 is about 457.1453714147.

The spelling of 95535104 in words is "ninety-five million, five hundred thirty-five thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 49 56 64 68 98 112 119 128 136 196 224 238 256 272 343 392 448 476 512 544 686 784 833 896 952 1024 1088 1372 1568 1666 1792 1904 2048 2176 2744 3136 3332 3584 3808 4096 4352 5488 5831 6272 6664 7168 7616 8192 8704 10976 11662 12544 13328 14336 15232 16384 17408 21952 23324 25088 26656 28672 30464 34816 43904 46648 50176 53312 57344 60928 69632 87808 93296 100352 106624 114688 121856 139264 175616 186592 200704 213248 243712 278528 351232 373184 401408 426496 487424 702464 746368 802816 852992 974848 1404928 1492736 1705984 1949696 2809856 2985472 3411968 5619712 5970944 6823936 11941888 13647872 23883776 47767552 95535104