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90000048 = 2439711931
BaseRepresentation
bin1010101110101…
…00101010110000
320021100110212010
411113110222300
5141020000143
612533002520
72141662545
oct527245260
9207313763
1090000048
1146891406
1226183440
1315851c88
14bd4abcc
157d7ba33
hex55d4ab0

90000048 has 40 divisors (see below), whose sum is σ = 232860096. Its totient is φ = 29953600.

The previous prime is 89999999. The next prime is 90000049. The reversal of 90000048 is 84000009.

It is a junction number, because it is equal to n+sod(n) for n = 89999979 and 90000033.

It is not an unprimeable number, because it can be changed into a prime (90000049) 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 7 ways as a sum of consecutive naturals, for example, 45643 + ... + 47573.

Almost surely, 290000048 is an apocalyptic number.

It is an amenable number.

90000048 is an abundant number, since it is smaller than the sum of its proper divisors (142860048).

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

90000048 is a wasteful number, since it uses less digits than its factorization.

90000048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2913 (or 2907 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 90000048 is about 9486.8355103269. The cubic root of 90000048 is about 448.1405543251.

The spelling of 90000048 in words is "ninety million, forty-eight", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 6 8 12 16 24 48 971 1931 1942 2913 3862 3884 5793 5826 7724 7768 11586 11652 15448 15536 23172 23304 30896 46344 46608 92688 1875001 3750002 5625003 7500004 11250006 15000008 22500012 30000016 45000024 90000048