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64607368 = 23723103487
BaseRepresentation
bin1111011001110…
…1010010001000
311111120101122111
43312131102020
5113014413433
610224432104
71413103450
oct366352210
9144511574
1064607368
1133518521
1219778634
1310501117
14881ad60
155a12dcd
hex3d9d488

64607368 has 64 divisors (see below), whose sum is σ = 146165760. Its totient is φ = 26174016.

The previous prime is 64607359. The next prime is 64607393. The reversal of 64607368 is 86370646.

64607368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×646073682 = 8348223999774848, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 64607368.

It is an unprimeable number.

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, 132421 + ... + 132907.

It is an arithmetic number, because the mean of its divisors is an integer number (2283840).

Almost surely, 264607368 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 64607368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73082880).

64607368 is an abundant number, since it is smaller than the sum of its proper divisors (81558392).

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

64607368 is a wasteful number, since it uses less digits than its factorization.

64607368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The square root of 64607368 is about 8037.8708623615. The cubic root of 64607368 is about 401.2613681947.

It can be divided in two parts, 64607 and 368, that multiplied together give a square (23775376 = 48762).

The spelling of 64607368 in words is "sixty-four million, six hundred seven thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 103 161 184 206 322 412 487 644 721 824 974 1288 1442 1948 2369 2884 3409 3896 4738 5768 6818 9476 11201 13636 16583 18952 22402 27272 33166 44804 50161 66332 78407 89608 100322 132664 156814 200644 313628 351127 401288 627256 702254 1153703 1404508 2307406 2809016 4614812 8075921 9229624 16151842 32303684 64607368