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876050136 = 2332131815171
BaseRepresentation
bin110100001101110…
…111011011011000
32021001102221212100
4310031313123120
53243232101021
6222532443400
730465206013
oct6415673330
92231387770
10876050136
1140a564485
12205479560
1310c65c480
14844c437a
1551d9a626
hex343776d8

876050136 has 96 divisors (see below), whose sum is σ = 2569759920. Its totient is φ = 268012800.

The previous prime is 876050129. The next prime is 876050159. The reversal of 876050136 is 631050678.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 876050136.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166831 + ... + 172001.

Almost surely, 2876050136 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 876050136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1284879960).

876050136 is an abundant number, since it is smaller than the sum of its proper divisors (1693709784).

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

876050136 is a wasteful number, since it uses less digits than its factorization.

876050136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5377 (or 5370 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 876050136 is about 29598.1441310093. The cubic root of 876050136 is about 956.8480742046.

The spelling of 876050136 in words is "eight hundred seventy-six million, fifty thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 181 234 312 362 468 543 724 936 1086 1448 1629 2172 2353 3258 4344 4706 5171 6516 7059 9412 10342 13032 14118 15513 18824 20684 21177 28236 31026 41368 42354 46539 56472 62052 67223 84708 93078 124104 134446 169416 186156 201669 268892 372312 403338 537784 605007 806676 935951 1210014 1613352 1871902 2420028 2807853 3743804 4840056 5615706 7487608 8423559 11231412 12167363 16847118 22462824 24334726 33694236 36502089 48669452 67388472 73004178 97338904 109506267 146008356 219012534 292016712 438025068 876050136