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90750496 = 255971677
BaseRepresentation
bin1010110100010…
…11111000100000
320022202121021111
411122023320200
5141213003441
613001033104
72151236464
oct532137040
9208677244
1090750496
1147254211
1226485794
1315a55725
14c0a44a4
157e79081
hex568be20

90750496 has 48 divisors (see below), whose sum is σ = 184524480. Its totient is φ = 43912960.

The previous prime is 90750481. The next prime is 90750497. The reversal of 90750496 is 69405709.

It is not an unprimeable number, because it can be changed into a prime (90750497) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 133710 + ... + 134386.

It is an arithmetic number, because the mean of its divisors is an integer number (3844260).

Almost surely, 290750496 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 90750496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92262240).

90750496 is an abundant number, since it is smaller than the sum of its proper divisors (93773984).

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

90750496 is a wasteful number, since it uses less digits than its factorization.

90750496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 40.

The square root of 90750496 is about 9526.3054748418. The cubic root of 90750496 is about 449.3826860609.

The spelling of 90750496 in words is "ninety million, seven hundred fifty thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 32 59 71 118 142 236 284 472 568 677 944 1136 1354 1888 2272 2708 4189 5416 8378 10832 16756 21664 33512 39943 48067 67024 79886 96134 134048 159772 192268 319544 384536 639088 769072 1278176 1538144 2835953 5671906 11343812 22687624 45375248 90750496