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90248040 = 2333583563
BaseRepresentation
bin1010110000100…
…01001101101000
320021211002001000
411120101031220
5141100414130
612542155000
72144044551
oct530211550
9207732030
1090248040
1146a40763
1226282a60
131590ab0c
14bdb3328
157dca260
hex5611368

90248040 has 64 divisors (see below), whose sum is σ = 300830400. Its totient is φ = 24065856.

The previous prime is 90248033. The next prime is 90248051. The reversal of 90248040 is 4084209.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 90247995 and 90248013.

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 15 ways as a sum of consecutive naturals, for example, 40702 + ... + 42861.

It is an arithmetic number, because the mean of its divisors is an integer number (4700475).

Almost surely, 290248040 is an apocalyptic number.

90248040 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

90248040 is an abundant number, since it is smaller than the sum of its proper divisors (210582360).

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

90248040 is a wasteful number, since it uses less digits than its factorization.

90248040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83583 (or 83573 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 90248040 is about 9499.8968415452. The cubic root of 90248040 is about 448.5517887423.

The spelling of 90248040 in words is "ninety million, two hundred forty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 83563 167126 250689 334252 417815 501378 668504 752067 835630 1002756 1253445 1504134 1671260 2005512 2256201 2506890 3008268 3342520 3760335 4512402 5013780 6016536 7520670 9024804 10027560 11281005 15041340 18049608 22562010 30082680 45124020 90248040