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64164040 = 2351604101
BaseRepresentation
bin1111010011000…
…1000011001000
311110201212111221
43310301003020
5112411222130
610211131424
71406246113
oct364610310
9143655457
1064164040
1133245436
12195a3b74
13103a73b5
14874357a
15597687a
hex3d310c8

64164040 has 16 divisors (see below), whose sum is σ = 144369180. Its totient is φ = 25665600.

The previous prime is 64163993. The next prime is 64164059. The reversal of 64164040 is 4046146.

It can be written as a sum of positive squares in 2 ways, for example, as 62631396 + 1532644 = 7914^2 + 1238^2 .

It is a junction number, because it is equal to n+sod(n) for n = 64163996 and 64164014.

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, 802011 + ... + 802090.

Almost surely, 264164040 is an apocalyptic number.

It is an amenable number.

64164040 is an abundant number, since it is smaller than the sum of its proper divisors (80205140).

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

64164040 is a wasteful number, since it uses less digits than its factorization.

64164040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1604112 (or 1604108 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 64164040 is about 8010.2459387961. The cubic root of 64164040 is about 400.3414584324.

The spelling of 64164040 in words is "sixty-four million, one hundred sixty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 1604101 3208202 6416404 8020505 12832808 16041010 32082020 64164040