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117258592 = 25114361127
BaseRepresentation
bin1101111110100…
…11100101100000
322011122100112211
412333103211200
5220004233332
615345131504
72622452533
oct677234540
9264570484
10117258592
116020a130
1233329b94
131b3a71a9
1411804a1a
15a463447
hex6fd3960

117258592 has 96 divisors (see below), whose sum is σ = 263983104. Its totient is φ = 50803200.

The previous prime is 117258569. The next prime is 117258601. The reversal of 117258592 is 295852711.

Its product of digits (50400) is a multiple of the sum of its prime factors (252).

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, 923233 + ... + 923359.

It is an arithmetic number, because the mean of its divisors is an integer number (2749824).

Almost surely, 2117258592 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 117258592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131991552).

117258592 is an abundant number, since it is smaller than the sum of its proper divisors (146724512).

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

117258592 is a wasteful number, since it uses less digits than its factorization.

117258592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 244 counting only the distinct ones).

The product of its digits is 50400, while the sum is 40.

The square root of 117258592 is about 10828.6006482832. The cubic root of 117258592 is about 489.4573918604.

The spelling of 117258592 in words is "one hundred seventeen million, two hundred fifty-eight thousand, five hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 32 43 44 61 86 88 122 127 172 176 244 254 344 352 473 488 508 671 688 946 976 1016 1342 1376 1397 1892 1952 2032 2623 2684 2794 3784 4064 5246 5368 5461 5588 7568 7747 10492 10736 10922 11176 15136 15494 20984 21472 21844 22352 28853 30988 41968 43688 44704 57706 60071 61976 83936 85217 87376 115412 120142 123952 170434 174752 230824 240284 247904 333121 340868 461648 480568 666242 681736 923296 961136 1332484 1363472 1922272 2664968 2726944 3664331 5329936 7328662 10659872 14657324 29314648 58629296 117258592