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90696192 = 293137431
BaseRepresentation
bin1010110011111…
…10101000000000
320022122211210020
411121332220000
5141204234232
612555533440
72150622246
oct531765000
9208584706
1090696192
1147217434
122645a280
1315a36ab2
14c08c796
157e67e2c
hex567ea00

90696192 has 80 divisors (see below), whose sum is σ = 243948672. Its totient is φ = 29941760.

The previous prime is 90696191. The next prime is 90696211. The reversal of 90696192 is 29169609.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (90696191) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 210217 + ... + 210647.

Almost surely, 290696192 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 90696192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121974336).

90696192 is an abundant number, since it is smaller than the sum of its proper divisors (153252480).

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

90696192 is a wasteful number, since it uses less digits than its factorization.

90696192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 42.

The square root of 90696192 is about 9523.4548353001. The cubic root of 90696192 is about 449.2930331200.

The spelling of 90696192 in words is "ninety million, six hundred ninety-six thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 137 192 256 274 384 411 431 512 548 768 822 862 1096 1293 1536 1644 1724 2192 2586 3288 3448 4384 5172 6576 6896 8768 10344 13152 13792 17536 20688 26304 27584 35072 41376 52608 55168 59047 70144 82752 105216 110336 118094 165504 177141 210432 220672 236188 331008 354282 472376 662016 708564 944752 1417128 1889504 2834256 3779008 5668512 7558016 11337024 15116032 22674048 30232064 45348096 90696192