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64485414 = 23272512039
BaseRepresentation
bin1111010111111…
…1100000100110
311111100012100200
43311333200212
5113002013124
610222051330
71412055060
oct365774046
9144305320
1064485414
1133444934
1219719b46
131048a766
1487c8730
1559dbbc9
hex3d7f826

64485414 has 48 divisors (see below), whose sum is σ = 160392960. Its totient is φ = 18342000.

The previous prime is 64485397. The next prime is 64485419. The reversal of 64485414 is 41458446.

It is a happy number.

64485414 is a `hidden beast` number, since 644 + 8 + 5 + 4 + 1 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64485419) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30607 + ... + 32645.

It is an arithmetic number, because the mean of its divisors is an integer number (3341520).

Almost surely, 264485414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64485414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80196480).

64485414 is an abundant number, since it is smaller than the sum of its proper divisors (95907546).

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

64485414 is a wasteful number, since it uses less digits than its factorization.

64485414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2305 (or 2302 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 64485414 is about 8030.2810660649. The cubic root of 64485414 is about 401.0087331717.

The spelling of 64485414 in words is "sixty-four million, four hundred eighty-five thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 251 502 753 1506 1757 2039 2259 3514 4078 4518 5271 6117 10542 12234 14273 15813 18351 28546 31626 36702 42819 85638 128457 256914 511789 1023578 1535367 3070734 3582523 4606101 7165046 9212202 10747569 21495138 32242707 64485414