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90410216 = 23131751137
BaseRepresentation
bin1010110001110…
…00110011101000
320022010022111112
411120320303220
5141121111331
612545445452
72145321431
oct530706350
9208108445
1090410216
1147041596
1226340888
1315966890
14c016488
157e0d32b
hex5638ce8

90410216 has 32 divisors (see below), whose sum is σ = 193301640. Its totient is φ = 39272448.

The previous prime is 90410183. The next prime is 90410237. The reversal of 90410216 is 61201409.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 87347716 + 3062500 = 9346^2 + 1750^2 .

It is a junction number, because it is equal to n+sod(n) for n = 90410191 and 90410200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23801 + ... + 27336.

Almost surely, 290410216 is an apocalyptic number.

It is an amenable number.

90410216 is an abundant number, since it is smaller than the sum of its proper divisors (102891424).

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

90410216 is a wasteful number, since it uses less digits than its factorization.

90410216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51173 (or 51169 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 90410216 is about 9508.4286819642. The cubic root of 90410216 is about 448.8203109337.

The spelling of 90410216 in words is "ninety million, four hundred ten thousand, two hundred sixteen".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 221 442 884 1768 51137 102274 204548 409096 664781 869329 1329562 1738658 2659124 3477316 5318248 6954632 11301277 22602554 45205108 90410216