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495420048 = 24327347129
BaseRepresentation
bin11101100001111…
…000001010010000
31021112012221112200
4131201320022100
52003311420143
6121054323200
715164000214
oct3541701220
91245187480
10495420048
11234719462
12119ab9500
137b840576
1449b22944
152d7611d3
hex1d878290

495420048 has 60 divisors (see below), whose sum is σ = 1405510860. Its totient is φ = 162874368.

The previous prime is 495420019. The next prime is 495420053. The reversal of 495420048 is 840024594.

It can be written as a sum of positive squares in 2 ways, for example, as 88510464 + 406909584 = 9408^2 + 20172^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 495419994 and 495420021.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13053 + ... + 34076.

It is an arithmetic number, because the mean of its divisors is an integer number (23425181).

Almost surely, 2495420048 is an apocalyptic number.

495420048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

495420048 is an abundant number, since it is smaller than the sum of its proper divisors (910090812).

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

495420048 is a wasteful number, since it uses less digits than its factorization.

495420048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47216 (or 47207 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 495420048 is about 22258.0333363035. The cubic root of 495420048 is about 791.2696818326.

The spelling of 495420048 in words is "four hundred ninety-five million, four hundred twenty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 73 144 146 219 292 438 584 657 876 1168 1314 1752 2628 3504 5256 10512 47129 94258 141387 188516 282774 377032 424161 565548 754064 848322 1131096 1696644 2262192 3393288 3440417 6786576 6880834 10321251 13761668 20642502 27523336 30963753 41285004 55046672 61927506 82570008 123855012 165140016 247710024 495420048