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97092 = 22332931
BaseRepresentation
bin10111101101000100
311221012000
4113231010
511101332
62025300
7553032
oct275504
9157160
1097092
1166a46
1248230
1335268
1427552
151db7c
hex17b44

97092 has 48 divisors (see below), whose sum is σ = 268800. Its totient is φ = 30240.

The previous prime is 97081. The next prime is 97103. The reversal of 97092 is 29079.

It is an interprime number because it is at equal distance from previous prime (97081) and next prime (97103).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

97092 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3117 + ... + 3147.

It is an arithmetic number, because the mean of its divisors is an integer number (5600).

297092 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 97092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134400).

97092 is an abundant number, since it is smaller than the sum of its proper divisors (171708).

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

97092 is a wasteful number, since it uses less digits than its factorization.

97092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 97092 is about 311.5958921424. The cubic root of 97092 is about 45.9615305341.

The spelling of 97092 in words is "ninety-seven thousand, ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 29 31 36 54 58 62 87 93 108 116 124 174 186 261 279 348 372 522 558 783 837 899 1044 1116 1566 1674 1798 2697 3132 3348 3596 5394 8091 10788 16182 24273 32364 48546 97092