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64198288 = 24711107487
BaseRepresentation
bin1111010011100…
…1011010010000
311110210121111101
43310321122100
5112413321123
610211554144
71406451010
oct364713220
9143717441
1064198288
1133269140
12195bb954
13103b9b6b
148751c40
155981aad
hex3d39690

64198288 has 80 divisors (see below), whose sum is σ = 156847104. Its totient is φ = 24727680.

The previous prime is 64198279. The next prime is 64198297. The reversal of 64198288 is 88289146.

64198288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (64198279) and next prime (64198297).

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, 131581 + ... + 132067.

Almost surely, 264198288 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 64198288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78423552).

64198288 is an abundant number, since it is smaller than the sum of its proper divisors (92648816).

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

64198288 is a wasteful number, since it uses less digits than its factorization.

64198288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 614 counting only the distinct ones).

The product of its digits is 221184, while the sum is 46.

The square root of 64198288 is about 8012.3834156885. The cubic root of 64198288 is about 400.4126741038.

The spelling of 64198288 in words is "sixty-four million, one hundred ninety-eight thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 107 112 154 176 214 308 428 487 616 749 856 974 1177 1232 1498 1712 1948 2354 2996 3409 3896 4708 5357 5992 6818 7792 8239 9416 10714 11984 13636 16478 18832 21428 27272 32956 37499 42856 52109 54544 65912 74998 85712 104218 131824 149996 208436 299992 364763 416872 573199 599984 729526 833744 1146398 1459052 2292796 2918104 4012393 4585592 5836208 8024786 9171184 16049572 32099144 64198288