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64772442 = 2327598713
BaseRepresentation
bin1111011100010…
…1100101011010
311111212210002100
43313011211122
5113040204232
610232144230
71414361640
oct367054532
9144783070
1064772442
1133620549
1219838076
131055b2b7
148861190
155a46c7c
hex3dc595a

64772442 has 48 divisors (see below), whose sum is σ = 163126080. Its totient is φ = 18190656.

The previous prime is 64772437. The next prime is 64772447. The reversal of 64772442 is 24427746.

It is a happy number.

64772442 is a `hidden beast` number, since 647 + 7 + 2 + 4 + 4 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (64772437) and next prime (64772447).

It is a junction number, because it is equal to n+sod(n) for n = 64772397 and 64772406.

It is not an unprimeable number, because it can be changed into a prime (64772447) 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, 3078 + ... + 11790.

It is an arithmetic number, because the mean of its divisors is an integer number (3398460).

Almost surely, 264772442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64772442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81563040).

64772442 is an abundant number, since it is smaller than the sum of its proper divisors (98353638).

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

64772442 is a wasteful number, since it uses less digits than its factorization.

64772442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8787 (or 8784 counting only the distinct ones).

The product of its digits is 75264, while the sum is 36.

The square root of 64772442 is about 8048.1328269357. The cubic root of 64772442 is about 401.6028229843.

The spelling of 64772442 in words is "sixty-four million, seven hundred seventy-two thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 59 63 118 126 177 354 413 531 826 1062 1239 2478 3717 7434 8713 17426 26139 52278 60991 78417 121982 156834 182973 365946 514067 548919 1028134 1097838 1542201 3084402 3598469 4626603 7196938 9253206 10795407 21590814 32386221 64772442