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90459941 = 111317127293
BaseRepresentation
bin1010110010001…
…00111100100101
320022012211201012
411121010330211
5141124204231
612550512005
72145616415
oct531047445
9208184635
1090459941
1147075990
1226365605
13159833c0
14c02a645
157e1ce2b
hex5644f25

90459941 has 32 divisors (see below), whose sum is σ = 113799168. Its totient is φ = 70640640.

The previous prime is 90459937. The next prime is 90459973. The reversal of 90459941 is 14995409.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 90459941 - 22 = 90459937 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90459911) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 308591 + ... + 308883.

It is an arithmetic number, because the mean of its divisors is an integer number (3556224).

Almost surely, 290459941 is an apocalyptic number.

It is an amenable number.

90459941 is a deficient number, since it is larger than the sum of its proper divisors (23339227).

90459941 is a wasteful number, since it uses less digits than its factorization.

90459941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461.

The product of its (nonzero) digits is 58320, while the sum is 41.

The square root of 90459941 is about 9511.0431078825. The cubic root of 90459941 is about 448.9025785531.

The spelling of 90459941 in words is "ninety million, four hundred fifty-nine thousand, nine hundred forty-one".

Divisors: 1 11 13 17 127 143 187 221 293 1397 1651 2159 2431 3223 3809 4981 18161 23749 28067 37211 41899 54791 64753 308737 409321 483743 632587 712283 5321173 6958457 8223631 90459941