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490407040 = 275766261
BaseRepresentation
bin11101001110110…
…000010010000000
31021011210020222201
4131032300102000
52001021011130
6120355042544
715103251064
oct3516602200
91234706881
10490407040
11231905082
121182a0454
137a7a68a6
14491b9aa4
152d0c0bca
hex1d3b0480

490407040 has 32 divisors (see below), whose sum is σ = 1172380860. Its totient is φ = 196162560.

The previous prime is 490407037. The next prime is 490407089. The reversal of 490407040 is 40704094.

It can be written as a sum of positive squares in 2 ways, for example, as 430313536 + 60093504 = 20744^2 + 7752^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 382491 + ... + 383770.

Almost surely, 2490407040 is an apocalyptic number.

490407040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

490407040 is an abundant number, since it is smaller than the sum of its proper divisors (681973820).

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

490407040 is an equidigital number, since it uses as much as digits as its factorization.

490407040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766280 (or 766268 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 490407040 is about 22145.1358090214. The cubic root of 490407040 is about 788.5917549096.

The spelling of 490407040 in words is "four hundred ninety million, four hundred seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 766261 1532522 3065044 3831305 6130088 7662610 12260176 15325220 24520352 30650440 49040704 61300880 98081408 122601760 245203520 490407040