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64455632 = 2429532621
BaseRepresentation
bin1111010111100…
…0001111010000
311111021200111122
43311320033100
5113000040012
610221301412
71411602203
oct365701720
9144250448
1064455632
113342451a
1219704868
131047a037
1487bb93a
1559d2e72
hex3d783d0

64455632 has 40 divisors (see below), whose sum is σ = 131676840. Its totient is φ = 30517760.

The previous prime is 64455617. The next prime is 64455673. The reversal of 64455632 is 23655446.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 26460736 + 37994896 = 5144^2 + 6164^2 .

It is a junction number, because it is equal to n+sod(n) for n = 64455592 and 64455601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23282 + ... + 25902.

It is an arithmetic number, because the mean of its divisors is an integer number (3291921).

Almost surely, 264455632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64455632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65838420).

64455632 is an abundant number, since it is smaller than the sum of its proper divisors (67221208).

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

64455632 is a wasteful number, since it uses less digits than its factorization.

64455632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2711 (or 2705 counting only the distinct ones).

The product of its digits is 86400, while the sum is 35.

The square root of 64455632 is about 8028.4264958957. The cubic root of 64455632 is about 400.9469895908.

The spelling of 64455632 in words is "sixty-four million, four hundred fifty-five thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 29 53 58 106 116 212 232 424 464 848 1537 2621 3074 5242 6148 10484 12296 20968 24592 41936 76009 138913 152018 277826 304036 555652 608072 1111304 1216144 2222608 4028477 8056954 16113908 32227816 64455632