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90343456 = 25738231
BaseRepresentation
bin1010110001010…
…00100000100000
320021222220220221
411120220200200
5141111442311
612544212424
72144623000
oct530504040
9207886827
1090343456
1146aa6415
122630a114
1315942388
14bdda000
157de8671
hex5628820

90343456 has 48 divisors (see below), whose sum is σ = 207446400. Its totient is φ = 38713920.

The previous prime is 90343441. The next prime is 90343469. The reversal of 90343456 is 65434309.

It is a happy number.

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6861 + ... + 15091.

It is an arithmetic number, because the mean of its divisors is an integer number (4321800).

Almost surely, 290343456 is an apocalyptic number.

90343456 is the 5488-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90343456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103723200).

90343456 is an abundant number, since it is smaller than the sum of its proper divisors (117102944).

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

90343456 is an equidigital number, since it uses as much as digits as its factorization.

90343456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8262 (or 8240 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 34.

The square root of 90343456 is about 9504.9174641340. The cubic root of 90343456 is about 448.7098122778.

The spelling of 90343456 in words is "ninety million, three hundred forty-three thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 343 392 686 784 1372 1568 2744 5488 8231 10976 16462 32924 57617 65848 115234 131696 230468 263392 403319 460936 806638 921872 1613276 1843744 2823233 3226552 5646466 6453104 11292932 12906208 22585864 45171728 90343456