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64787872 = 25192341113
BaseRepresentation
bin1111011100100…
…1010110100000
311111220120020211
43313021112200
5113041202442
610232343504
71414454632
oct367112640
9144816224
1064787872
11336310a6
1219844b94
1310565326
148866a52
155a4b617
hex3dc95a0

64787872 has 96 divisors (see below), whose sum is σ = 144789120. Its totient is φ = 28385280.

The previous prime is 64787857. The next prime is 64787873. The reversal of 64787872 is 27878746.

It is a happy number.

64787872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (64787873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 573288 + ... + 573400.

It is an arithmetic number, because the mean of its divisors is an integer number (1508220).

Almost surely, 264787872 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 64787872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72394560).

64787872 is an abundant number, since it is smaller than the sum of its proper divisors (80001248).

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

64787872 is a wasteful number, since it uses less digits than its factorization.

64787872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 198 counting only the distinct ones).

The product of its digits is 1053696, while the sum is 49.

The square root of 64787872 is about 8049.0913772922. The cubic root of 64787872 is about 401.6347102055.

The spelling of 64787872 in words is "sixty-four million, seven hundred eighty-seven thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 16 19 23 32 38 41 46 76 82 92 113 152 164 184 226 304 328 368 437 452 608 656 736 779 874 904 943 1312 1558 1748 1808 1886 2147 2599 3116 3496 3616 3772 4294 4633 5198 6232 6992 7544 8588 9266 10396 12464 13984 15088 17176 17917 18532 20792 24928 30176 34352 35834 37064 41584 49381 68704 71668 74128 83168 88027 98762 106559 143336 148256 176054 197524 213118 286672 352108 395048 426236 573344 704216 790096 852472 1408432 1580192 1704944 2024621 2816864 3409888 4049242 8098484 16196968 32393936 64787872