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90877536 = 2532315547
BaseRepresentation
bin1010110101010…
…10111001100000
320100000001112200
411122222321200
5141231040121
613003453200
72152306041
oct532527140
9210001480
1090877536
1147330702
1226527200
1315a9b4b9
14c0d88c8
157ea1a26
hex56aae60

90877536 has 36 divisors (see below), whose sum is σ = 258433812. Its totient is φ = 30292416.

The previous prime is 90877519. The next prime is 90877537. The reversal of 90877536 is 63577809.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 90877491 and 90877500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90877537) 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 5 ways as a sum of consecutive naturals, for example, 157486 + ... + 158061.

It is an arithmetic number, because the mean of its divisors is an integer number (7178717).

Almost surely, 290877536 is an apocalyptic number.

90877536 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

90877536 is an abundant number, since it is smaller than the sum of its proper divisors (167556276).

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

90877536 is a wasteful number, since it uses less digits than its factorization.

90877536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315563 (or 315552 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 90877536 is about 9532.9709954452. The cubic root of 90877536 is about 449.5922825556.

The spelling of 90877536 in words is "ninety million, eight hundred seventy-seven thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 315547 631094 946641 1262188 1893282 2524376 2839923 3786564 5048752 5679846 7573128 10097504 11359692 15146256 22719384 30292512 45438768 90877536