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64483936 = 2511296317
BaseRepresentation
bin1111010111111…
…1001001100000
311111100010022221
43311333021200
5113001441221
610222040424
71412050546
oct365771140
9144303287
1064483936
1133443810
1219719114
1310489b9a
1487c7d96
1559db541
hex3d7f260

64483936 has 48 divisors (see below), whose sum is σ = 143292240. Its totient is φ = 28295680.

The previous prime is 64483931. The next prime is 64483943. The reversal of 64483936 is 63938446.

It is a junction number, because it is equal to n+sod(n) for n = 64483892 and 64483901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64483931) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7050 + ... + 13366.

It is an arithmetic number, because the mean of its divisors is an integer number (2985255).

Almost surely, 264483936 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 64483936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71646120).

64483936 is an abundant number, since it is smaller than the sum of its proper divisors (78808304).

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

64483936 is a wasteful number, since it uses less digits than its factorization.

64483936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6367 (or 6359 counting only the distinct ones).

The product of its digits is 373248, while the sum is 43.

The square root of 64483936 is about 8030.1890388708. The cubic root of 64483936 is about 401.0056694534.

Subtracting from 64483936 its reverse (63938446), we obtain a triangular number (545490 = T1044).

The spelling of 64483936 in words is "sixty-four million, four hundred eighty-three thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 88 116 176 232 319 352 464 638 928 1276 2552 5104 6317 10208 12634 25268 50536 69487 101072 138974 183193 202144 277948 366386 555896 732772 1111792 1465544 2015123 2223584 2931088 4030246 5862176 8060492 16120984 32241968 64483936