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816095696 = 241353181409
BaseRepresentation
bin110000101001001…
…010000111010000
32002212121221211112
4300221022013100
53132410030241
6212551432452
726136461513
oct6051120720
92085557745
10816095696
11389734859
121a9385728
131000ca180
147a558d7a
154b9a61eb
hex30a4a1d0

816095696 has 80 divisors (see below), whose sum is σ = 1748794320. Its totient is φ = 366612480.

The previous prime is 816095681. The next prime is 816095723. The reversal of 816095696 is 696590618.

It can be written as a sum of positive squares in 8 ways, for example, as 25361296 + 790734400 = 5036^2 + 28120^2 .

It is a congruent 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, 1995140 + ... + 1995548.

It is an arithmetic number, because the mean of its divisors is an integer number (21859929).

Almost surely, 2816095696 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 816095696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874397160).

816095696 is an abundant number, since it is smaller than the sum of its proper divisors (932698624).

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

816095696 is a wasteful number, since it uses less digits than its factorization.

816095696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 50.

The square root of 816095696 is about 28567.3886801017. The cubic root of 816095696 is about 934.5022739139.

The spelling of 816095696 in words is "eight hundred sixteen million, ninety-five thousand, six hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 52 53 104 106 181 208 212 362 409 424 689 724 818 848 1378 1448 1636 2353 2756 2896 3272 4706 5317 5512 6544 9412 9593 10634 11024 18824 19186 21268 21677 37648 38372 42536 43354 74029 76744 85072 86708 124709 148058 153488 173416 249418 281801 296116 346832 498836 563602 592232 962377 997672 1127204 1184464 1924754 1995344 2254408 3849508 3923537 4508816 7699016 7847074 15398032 15694148 31388296 51005981 62776592 102011962 204023924 408047848 816095696