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64988946 = 23311372957
BaseRepresentation
bin1111011111101…
…0011100010010
311112021210002000
43313322130102
5113114121241
610240534430
71416253101
oct367723422
9145253060
1064988946
1133759180
1219921416
13106059c9
1488ba038
155a8aeb6
hex3dfa712

64988946 has 64 divisors (see below), whose sum is σ = 161861760. Its totient is φ = 19154880.

The previous prime is 64988939. The next prime is 64988947.

64988946 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 64988892 and 64988901.

It is not an unprimeable number, because it can be changed into a prime (64988947) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20500 + ... + 23456.

It is an arithmetic number, because the mean of its divisors is an integer number (2529090).

Almost surely, 264988946 is an apocalyptic number.

64988946 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 64988946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80930880).

64988946 is an abundant number, since it is smaller than the sum of its proper divisors (96872814).

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

64988946 is a wasteful number, since it uses less digits than its factorization.

64988946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3016 (or 3010 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 64988946 is about 8061.5721791720. The cubic root of 64988946 is about 402.0497822065.

The spelling of 64988946 in words is "sixty-four million, nine hundred eighty-eight thousand, nine hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 37 54 66 74 99 111 198 222 297 333 407 594 666 814 999 1221 1998 2442 2957 3663 5914 7326 8871 10989 17742 21978 26613 32527 53226 65054 79839 97581 109409 159678 195162 218818 292743 328227 585486 656454 878229 984681 1203499 1756458 1969362 2406998 2954043 3610497 5908086 7220994 10831491 21662982 32494473 64988946