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419436064 = 2553247309
BaseRepresentation
bin11001000000000…
…001011000100000
31002020020120010001
4121000001120200
51324333423224
6105341545344
713252101445
oct3100013040
91066216101
10419436064
111a5840583
12b8575254
1368b88128
143d9c39cc
1526c52544
hex19001620

419436064 has 24 divisors (see below), whose sum is σ = 841348620. Its totient is φ = 205760256.

The previous prime is 419436023. The next prime is 419436067. The reversal of 419436064 is 460634914.

It can be written as a sum of positive squares in 2 ways, for example, as 418611600 + 824464 = 20460^2 + 908^2 .

It is a super-2 number, since 2×4194360642 = 351853223567624192, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (419436067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 121959 + ... + 125350.

Almost surely, 2419436064 is an apocalyptic number.

It is an amenable number.

419436064 is an abundant number, since it is smaller than the sum of its proper divisors (421912556).

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

419436064 is a wasteful number, since it uses less digits than its factorization.

419436064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247372 (or 247364 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The square root of 419436064 is about 20480.1382807832. The cubic root of 419436064 is about 748.5519104409.

The spelling of 419436064 in words is "four hundred nineteen million, four hundred thirty-six thousand, sixty-four".

Divisors: 1 2 4 8 16 32 53 106 212 424 848 1696 247309 494618 989236 1978472 3956944 7913888 13107377 26214754 52429508 104859016 209718032 419436064