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64484056 = 23713101877
BaseRepresentation
bin1111010111111…
…1001011011000
311111100010111101
43311333023120
5113001442211
610222041144
71412051110
oct365771330
9144303441
1064484056
113344390a
12197191b4
1310489c60
1487c8040
1559db5c1
hex3d7f2d8

64484056 has 64 divisors (see below), whose sum is σ = 150454080. Its totient is φ = 25228800.

The previous prime is 64484053. The next prime is 64484059. The reversal of 64484056 is 65048446.

64484056 is nontrivially palindromic in base 9.

It is an interprime number because it is at equal distance from previous prime (64484053) and next prime (64484059).

It is a super-2 number, since 2×644840562 = 8316386956422272, which contains 22 as substring.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64484053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73090 + ... + 73966.

It is an arithmetic number, because the mean of its divisors is an integer number (2350845).

Almost surely, 264484056 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 64484056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75227040).

64484056 is an abundant number, since it is smaller than the sum of its proper divisors (85970024).

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

64484056 is a wasteful number, since it uses less digits than its factorization.

64484056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

The square root of 64484056 is about 8030.1965106715. The cubic root of 64484056 is about 401.0059182009.

The spelling of 64484056 in words is "sixty-four million, four hundred eighty-four thousand, fifty-six".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 101 104 182 202 364 404 707 728 808 877 1313 1414 1754 2626 2828 3508 5252 5656 6139 7016 9191 10504 11401 12278 18382 22802 24556 36764 45604 49112 73528 79807 88577 91208 159614 177154 319228 354308 620039 638456 708616 1151501 1240078 2303002 2480156 4606004 4960312 8060507 9212008 16121014 32242028 64484056