Search a number
-
+
95709328 = 24111359709
BaseRepresentation
bin1011011010001…
…10100010010000
320200002112111221
411231012202100
5144000144303
613255214424
72241341641
oct555064220
9220075457
1095709328
114a030920
1228077414
1316aa0850
14c9d56c8
1586084bd
hex5b46890

95709328 has 80 divisors (see below), whose sum is σ = 221860800. Its totient is φ = 39421440.

The previous prime is 95709319. The next prime is 95709347. The reversal of 95709328 is 82390759.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 134638 + ... + 135346.

It is an arithmetic number, because the mean of its divisors is an integer number (2773260).

Almost surely, 295709328 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 95709328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110930400).

95709328 is an abundant number, since it is smaller than the sum of its proper divisors (126151472).

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

95709328 is a wasteful number, since it uses less digits than its factorization.

95709328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 43.

The square root of 95709328 is about 9783.1144325312. The cubic root of 95709328 is about 457.4230959550.

The spelling of 95709328 in words is "ninety-five million, seven hundred nine thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 59 88 104 118 143 176 208 236 286 472 572 649 709 767 944 1144 1298 1418 1534 2288 2596 2836 3068 5192 5672 6136 7799 8437 9217 10384 11344 12272 15598 16874 18434 31196 33748 36868 41831 62392 67496 73736 83662 101387 124784 134992 147472 167324 202774 334648 405548 460141 543803 669296 811096 920282 1087606 1622192 1840564 2175212 3681128 4350424 5981833 7362256 8700848 11963666 23927332 47854664 95709328