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496143952 = 24374120441
BaseRepresentation
bin11101100100101…
…000111001010000
31021120120201112221
4131210220321100
52004003101302
6121122030424
715203103553
oct3544507120
91246521487
10496143952
11235073327
1211a1a8414
137ba34c05
1449c7069a
152d855937
hex1d928e50

496143952 has 40 divisors (see below), whose sum is σ = 1011388392. Its totient is φ = 235468800.

The previous prime is 496143943. The next prime is 496143983. The reversal of 496143952 is 259341694.

It can be written as a sum of positive squares in 4 ways, for example, as 125350416 + 370793536 = 11196^2 + 19256^2 .

It is a super-2 number, since 2×4961439522 = 492317642212356608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 496143899 and 496143908.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 14052 + ... + 34492.

Almost surely, 2496143952 is an apocalyptic number.

It is an amenable number.

496143952 is an abundant number, since it is smaller than the sum of its proper divisors (515244440).

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

496143952 is a wasteful number, since it uses less digits than its factorization.

496143952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20527 (or 20521 counting only the distinct ones).

The product of its digits is 233280, while the sum is 43.

The square root of 496143952 is about 22274.2890346695. The cubic root of 496143952 is about 791.6548933478.

The spelling of 496143952 in words is "four hundred ninety-six million, one hundred forty-three thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 37 41 74 82 148 164 296 328 592 656 1517 3034 6068 12136 20441 24272 40882 81764 163528 327056 756317 838081 1512634 1676162 3025268 3352324 6050536 6704648 12101072 13409296 31008997 62017994 124035988 248071976 496143952