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64288890 = 2345139571
BaseRepresentation
bin1111010100111…
…1100001111010
311110222012210000
43311033201322
5112424221030
610213533430
71410306111
oct365174172
9143865700
1064288890
1133320216
1219644276
131041c183
148776c78
15599d860
hex3d4f87a

64288890 has 80 divisors (see below), whose sum is σ = 174414240. Its totient is φ = 16990560.

The previous prime is 64288877. The next prime is 64288891. The reversal of 64288890 is 9888246.

It is a happy number.

It is a super-2 number, since 2×642888902 = 8266122754864200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (64288891) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 112305 + ... + 112875.

It is an arithmetic number, because the mean of its divisors is an integer number (2180178).

Almost surely, 264288890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64288890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87207120).

64288890 is an abundant number, since it is smaller than the sum of its proper divisors (110125350).

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

64288890 is a wasteful number, since it uses less digits than its factorization.

64288890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 64288890 is about 8018.0352955072. The cubic root of 64288890 is about 400.6009508597.

The spelling of 64288890 in words is "sixty-four million, two hundred eighty-eight thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 139 162 270 278 405 417 571 695 810 834 1142 1251 1390 1713 2085 2502 2855 3426 3753 4170 5139 5710 6255 7506 8565 10278 11259 12510 15417 17130 18765 22518 25695 30834 37530 46251 51390 56295 77085 79369 92502 112590 154170 158738 231255 238107 396845 462510 476214 714321 793690 1190535 1428642 2142963 2381070 3571605 4285926 6428889 7143210 10714815 12857778 21429630 32144445 64288890