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496149420 = 2235131723171
BaseRepresentation
bin11101100100101…
…010001110101100
31021120121000001110
4131210222032230
52004003240140
6121122112020
715203125524
oct3544521654
91246530043
10496149420
11235077448
1211a1ab610
137ba37550
1449c72684
152d857380
hex1d92a3ac

496149420 has 288 divisors, whose sum is σ = 1663635456. Its totient is φ = 109670400.

The previous prime is 496149397. The next prime is 496149449. The reversal of 496149420 is 24941694.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6987985 + ... + 6988055.

It is an arithmetic number, because the mean of its divisors is an integer number (5776512).

Almost surely, 2496149420 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 496149420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831817728).

496149420 is an abundant number, since it is smaller than the sum of its proper divisors (1167486036).

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

496149420 is a wasteful number, since it uses less digits than its factorization.

496149420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 496149420 is about 22274.4117767451. The cubic root of 496149420 is about 791.6578016120.

The spelling of 496149420 in words is "four hundred ninety-six million, one hundred forty-nine thousand, four hundred twenty".