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872038872 = 233410712577
BaseRepresentation
bin110011111110100…
…100000111011000
32020202220011110000
4303332210013120
53241220220442
6222310453000
730416131245
oct6376440730
92222804400
10872038872
11408274791
12204064160
1310b886743
1483b5c5cc
1551856d4c
hex33fa41d8

872038872 has 80 divisors (see below), whose sum is σ = 2465539560. Its totient is φ = 287940096.

The previous prime is 872038847. The next prime is 872038883. The reversal of 872038872 is 278830278.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 63048 + ... + 75624.

Almost surely, 2872038872 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 872038872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1232769780).

872038872 is an abundant number, since it is smaller than the sum of its proper divisors (1593500688).

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

872038872 is a wasteful number, since it uses less digits than its factorization.

872038872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12702 (or 12689 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 872038872 is about 29530.3042991433. The cubic root of 872038872 is about 955.3854321699.

The spelling of 872038872 in words is "eight hundred seventy-two million, thirty-eight thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 107 108 162 214 216 321 324 428 642 648 856 963 1284 1926 2568 2889 3852 5778 7704 8667 11556 12577 17334 23112 25154 34668 37731 50308 69336 75462 100616 113193 150924 226386 301848 339579 452772 679158 905544 1018737 1345739 1358316 2037474 2691478 2716632 4037217 4074948 5382956 8074434 8149896 10765912 12111651 16148868 24223302 32297736 36334953 48446604 72669906 96893208 109004859 145339812 218009718 290679624 436019436 872038872