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90282948 = 22375871831
BaseRepresentation
bin1010110000110…
…01101111000100
320021212211220220
411120121233010
5141103023243
612543024340
72144251410
oct530315704
9207784826
1090282948
1146a64a08
122629b0b0
1315920982
14bdc1d40
157dd5783
hex5619bc4

90282948 has 48 divisors (see below), whose sum is σ = 241296384. Its totient is φ = 25737120.

The previous prime is 90282947. The next prime is 90282949. The reversal of 90282948 is 84928209.

It is an interprime number because it is at equal distance from previous prime (90282947) and next prime (90282949).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (90282947) 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 15 ways as a sum of consecutive naturals, for example, 48393 + ... + 50223.

It is an arithmetic number, because the mean of its divisors is an integer number (5027008).

Almost surely, 290282948 is an apocalyptic number.

It is an amenable number.

90282948 is an abundant number, since it is smaller than the sum of its proper divisors (151013436).

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

90282948 is a wasteful number, since it uses less digits than its factorization.

90282948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2432 (or 2430 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 90282948 is about 9501.7339470225. The cubic root of 90282948 is about 448.6096146609.

The spelling of 90282948 in words is "ninety million, two hundred eighty-two thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 587 1174 1761 1831 2348 3522 3662 4109 5493 7044 7324 8218 10986 12327 12817 16436 21972 24654 25634 38451 49308 51268 76902 153804 1074797 2149594 3224391 4299188 6448782 7523579 12897564 15047158 22570737 30094316 45141474 90282948