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64428444 = 22326129339
BaseRepresentation
bin1111010111000…
…1100110011100
311111020022012200
43311301212130
5112443202234
610220531500
71411430013
oct365614634
9144208180
1064428444
1133406053
12196b0b90
131046a852
1487b1a7a
1559c9d99
hex3d7199c

64428444 has 36 divisors (see below), whose sum is σ = 165536280. Its totient is φ = 21123360.

The previous prime is 64428409. The next prime is 64428499. The reversal of 64428444 is 44482446.

64428444 is a `hidden beast` number, since 644 + 2 + 8 + 4 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×644284442 = 8302048792522272, which contains 22 as substring.

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 = 64428399 and 64428408.

It is a congruent number.

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, 12474 + ... + 16865.

It is an arithmetic number, because the mean of its divisors is an integer number (4598230).

Almost surely, 264428444 is an apocalyptic number.

It is an amenable number.

64428444 is an abundant number, since it is smaller than the sum of its proper divisors (101107836).

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

64428444 is a wasteful number, since it uses less digits than its factorization.

64428444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29410 (or 29405 counting only the distinct ones).

The product of its digits is 98304, while the sum is 36.

The square root of 64428444 is about 8026.7330838891. The cubic root of 64428444 is about 400.8906072418.

The spelling of 64428444 in words is "sixty-four million, four hundred twenty-eight thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 549 732 1098 2196 29339 58678 88017 117356 176034 264051 352068 528102 1056204 1789679 3579358 5369037 7158716 10738074 16107111 21476148 32214222 64428444