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872844096 = 263109179233
BaseRepresentation
bin110100000001101…
…000101101000000
32020211102002000010
4310001220231000
53241422002341
6222340024520
730426023655
oct6401505500
92224362003
10872844096
11408774763
12204392140
1310baa90c7
1483ccbc2c
1551965716
hex34068b40

872844096 has 112 divisors (see below), whose sum is σ = 2353665600. Its totient is φ = 285437952.

The previous prime is 872844079. The next prime is 872844101. The reversal of 872844096 is 690448278.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3745996 + ... + 3746228.

Almost surely, 2872844096 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 872844096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1176832800).

872844096 is an abundant number, since it is smaller than the sum of its proper divisors (1480821504).

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

872844096 is a wasteful number, since it uses less digits than its factorization.

872844096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The square root of 872844096 is about 29543.9350121137. The cubic root of 872844096 is about 955.6794032454.

The spelling of 872844096 in words is "eight hundred seventy-two million, eight hundred forty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 109 179 192 218 233 327 358 436 466 537 654 699 716 872 932 1074 1308 1398 1432 1744 1864 2148 2616 2796 2864 3488 3728 4296 5232 5592 5728 6976 7456 8592 10464 11184 11456 14912 17184 19511 20928 22368 25397 34368 39022 41707 44736 50794 58533 76191 78044 83414 101588 117066 125121 152382 156088 166828 203176 234132 250242 304764 312176 333656 406352 468264 500484 609528 624352 667312 812704 936528 1000968 1219056 1248704 1334624 1625408 1873056 2001936 2438112 2669248 3746112 4003872 4546063 4876224 8007744 9092126 13638189 18184252 27276378 36368504 54552756 72737008 109105512 145474016 218211024 290948032 436422048 872844096