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900759053 = 2941757577
BaseRepresentation
bin110101101100000…
…111111000001101
32022202221022010102
4311230013320031
53321043242203
6225214220445
731215216455
oct6554077015
92282838112
10900759053
11422500677
122117b4725
1311480102c
14878b6d65
155412b888
hex35b07e0d

900759053 has 8 divisors (see below), whose sum is σ = 954548280. Its totient is φ = 848485120.

The previous prime is 900759031. The next prime is 900759061. The reversal of 900759053 is 350957009.

It can be written as a sum of positive squares in 4 ways, for example, as 18550249 + 882208804 = 4307^2 + 29702^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 900759053 - 210 = 900758029 is a prime.

It is a super-2 number, since 2×9007590532 = 1622733743122913618, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 900758998 and 900759016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (900759023) 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, 377600 + ... + 379977.

It is an arithmetic number, because the mean of its divisors is an integer number (119318535).

Almost surely, 2900759053 is an apocalyptic number.

It is an amenable number.

900759053 is a deficient number, since it is larger than the sum of its proper divisors (53789227).

900759053 is a wasteful number, since it uses less digits than its factorization.

900759053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757647.

The product of its (nonzero) digits is 42525, while the sum is 38.

The square root of 900759053 is about 30012.6482170434. The cubic root of 900759053 is about 965.7607370803.

The spelling of 900759053 in words is "nine hundred million, seven hundred fifty-nine thousand, fifty-three".

Divisors: 1 29 41 1189 757577 21969733 31060657 900759053