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861728088 = 233132819829
BaseRepresentation
bin110011010111001…
…110110101011000
32020001111022201010
4303113032311120
53231100244323
6221301453520
730232365534
oct6327166530
92201438633
10861728088
11402472081
122007112a0
131096b65a0
1482636bc4
15509bbc93
hex335ced58

861728088 has 64 divisors (see below), whose sum is σ = 2328530400. Its totient is φ = 264176640.

The previous prime is 861728081. The next prime is 861728089. The reversal of 861728088 is 880827168.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (861728081) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 82758 + ... + 92586.

Almost surely, 2861728088 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 861728088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1164265200).

861728088 is an abundant number, since it is smaller than the sum of its proper divisors (1466802312).

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

861728088 is a wasteful number, since it uses less digits than its factorization.

861728088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10132 (or 10128 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 48.

The square root of 861728088 is about 29355.2054668333. The cubic root of 861728088 is about 951.6050753479.

The spelling of 861728088 in words is "eight hundred sixty-one million, seven hundred twenty-eight thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 281 312 562 843 1124 1686 2248 3372 3653 6744 7306 9829 10959 14612 19658 21918 29224 29487 39316 43836 58974 78632 87672 117948 127777 235896 255554 383331 511108 766662 1022216 1533324 2761949 3066648 5523898 8285847 11047796 16571694 22095592 33143388 35905337 66286776 71810674 107716011 143621348 215432022 287242696 430864044 861728088