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496380780 = 2232572167337
BaseRepresentation
bin11101100101100…
…010101101101100
31021121000202102100
4131211202231230
52004033141110
6121131055100
715205111200
oct3545425554
91247022370
10496380780
11235215255
1211a2a1490
137bab894c
1449cd2b00
152d8a0bc0
hex1d962b6c

496380780 has 216 divisors, whose sum is σ = 1767231648. Its totient is φ = 112444416.

The previous prime is 496380767. The next prime is 496380817. The reversal of 496380780 is 87083694.

It is a happy number.

496380780 is a `hidden beast` number, since 4 + 9 + 638 + 0 + 7 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1472772 + ... + 1473108.

It is an arithmetic number, because the mean of its divisors is an integer number (8181628).

Almost surely, 2496380780 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 496380780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883615824).

496380780 is an abundant number, since it is smaller than the sum of its proper divisors (1270850868).

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

496380780 is a wasteful number, since it uses less digits than its factorization.

496380780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 496380780 is about 22279.6045745879. The cubic root of 496380780 is about 791.7808354398.

The spelling of 496380780 in words is "four hundred ninety-six million, three hundred eighty thousand, seven hundred eighty".