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90749728 = 25412632
BaseRepresentation
bin1010110100010…
…11101100100000
320022202120020001
411122023230200
5141212442403
613001025344
72151234316
oct532135440
9208676201
1090749728
1147253683
1226485254
1315a55284
14c0a40b6
157e78c1d
hex568bb20

90749728 has 36 divisors (see below), whose sum is σ = 183719718. Its totient is φ = 44099840.

The previous prime is 90749717. The next prime is 90749753. The reversal of 90749728 is 82794709.

It can be written as a sum of positive squares in only one way, i.e., 89643024 + 1106704 = 9468^2 + 1052^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 344925 + ... + 345187.

Almost surely, 290749728 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 90749728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91859859).

90749728 is an abundant number, since it is smaller than the sum of its proper divisors (92969990).

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

90749728 is an equidigital number, since it uses as much as digits as its factorization.

90749728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 46.

The square root of 90749728 is about 9526.2651653206. The cubic root of 90749728 is about 449.3814183841.

The spelling of 90749728 in words is "ninety million, seven hundred forty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 32 41 82 164 263 328 526 656 1052 1312 2104 4208 8416 10783 21566 43132 69169 86264 138338 172528 276676 345056 553352 1106704 2213408 2835929 5671858 11343716 22687432 45374864 90749728