Search a number
-
+
92875104 = 25327232003
BaseRepresentation
bin1011000100100…
…10100101100000
320110202112200200
411202102211200
5142234000404
613114345200
72205265620
oct542224540
9213675620
1092875104
1148475493
122712b200
131631a7aa
14c498880
158248839
hex5892960

92875104 has 144 divisors (see below), whose sum is σ = 315124992. Its totient is φ = 25369344.

The previous prime is 92875103. The next prime is 92875129. The reversal of 92875104 is 40157829.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (92875103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45367 + ... + 47369.

It is an arithmetic number, because the mean of its divisors is an integer number (2188368).

Almost surely, 292875104 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 92875104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157562496).

92875104 is an abundant number, since it is smaller than the sum of its proper divisors (222249888).

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

92875104 is a wasteful number, since it uses less digits than its factorization.

92875104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2049 (or 2038 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 92875104 is about 9637.1730294729. The cubic root of 92875104 is about 452.8625813023.

The spelling of 92875104 in words is "ninety-two million, eight hundred seventy-five thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 32 36 42 46 48 56 63 69 72 84 92 96 112 126 138 144 161 168 184 207 224 252 276 288 322 336 368 414 483 504 552 644 672 736 828 966 1008 1104 1288 1449 1656 1932 2003 2016 2208 2576 2898 3312 3864 4006 5152 5796 6009 6624 7728 8012 11592 12018 14021 15456 16024 18027 23184 24036 28042 32048 36054 42063 46069 46368 48072 56084 64096 72108 84126 92138 96144 112168 126189 138207 144216 168252 184276 192288 224336 252378 276414 288432 322483 336504 368552 414621 448672 504756 552828 576864 644966 673008 737104 829242 967449 1009512 1105656 1289932 1346016 1474208 1658484 1934898 2019024 2211312 2579864 2902347 3316968 3869796 4038048 4422624 5159728 5804694 6633936 7739592 10319456 11609388 13267872 15479184 23218776 30958368 46437552 92875104