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496950552 = 2336723747
BaseRepresentation
bin11101100111101…
…101110100011000
31021122002201000000
4131213231310120
52004204404202
6121151213000
715213003300
oct3547556430
91248081000
10496950552
1123557433a
1211a517160
137bc580a7
144a000600
152d96491c
hex1d9edd18

496950552 has 336 divisors, whose sum is σ = 1704555360. Its totient is φ = 135209088.

The previous prime is 496950533. The next prime is 496950557. The reversal of 496950552 is 255059694.

It is a happy number.

496950552 is a `hidden beast` number, since 4 + 9 + 6 + 95 + 0 + 552 = 666.

It is a super-2 number, since 2×4969505522 = 493919702266209408, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 496950498 and 496950507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (496950557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 10573393 + ... + 10573439.

Almost surely, 2496950552 is an apocalyptic number.

496950552 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 496950552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852277680).

496950552 is an abundant number, since it is smaller than the sum of its proper divisors (1207604808).

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

496950552 is a wasteful number, since it uses less digits than its factorization.

496950552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The square root of 496950552 is about 22292.3877590535. The cubic root of 496950552 is about 792.0836688467.

The spelling of 496950552 in words is "four hundred ninety-six million, nine hundred fifty thousand, five hundred fifty-two".