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90469248 = 273435479
BaseRepresentation
bin1010110010001…
…11001110000000
320022020022110220
411121013032000
5141130003443
612551023040
72145655512
oct531071600
9208208426
1090469248
1147081981
122636aa80
13159876cc
14c02dbb2
157e20a83
hex5647380

90469248 has 64 divisors (see below), whose sum is σ = 245942400. Its totient is φ = 29449728.

The previous prime is 90469201. The next prime is 90469259. The reversal of 90469248 is 84296409.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13773 + ... + 19251.

It is an arithmetic number, because the mean of its divisors is an integer number (3842850).

Almost surely, 290469248 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 90469248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122971200).

90469248 is an abundant number, since it is smaller than the sum of its proper divisors (155473152).

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

90469248 is a wasteful number, since it uses less digits than its factorization.

90469248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5539 (or 5527 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 90469248 is about 9511.5323686565. The cubic root of 90469248 is about 448.9179731870.

The spelling of 90469248 in words is "ninety million, four hundred sixty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 258 344 384 516 688 1032 1376 2064 2752 4128 5479 5504 8256 10958 16437 16512 21916 32874 43832 65748 87664 131496 175328 235597 262992 350656 471194 525984 701312 706791 942388 1051968 1413582 1884776 2103936 2827164 3769552 5654328 7539104 11308656 15078208 22617312 30156416 45234624 90469248