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64801242 = 23311127859
BaseRepresentation
bin1111011100110…
…0100111011010
311111221020121000
43313030213122
5113042114432
610232525430
71414541622
oct367144732
9144836530
1064801242
1133640150
1219850876
131056b43c
14886b882
155a5057c
hex3dcc9da

64801242 has 64 divisors (see below), whose sum is σ = 158515200. Its totient is φ = 19459440.

The previous prime is 64801241. The next prime is 64801259. The reversal of 64801242 is 24210846.

64801242 is a `hidden beast` number, since 648 + 0 + 12 + 4 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (64801241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75009 + ... + 75867.

It is an arithmetic number, because the mean of its divisors is an integer number (2476800).

Almost surely, 264801242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64801242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79257600).

64801242 is an abundant number, since it is smaller than the sum of its proper divisors (93713958).

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

64801242 is a wasteful number, since it uses less digits than its factorization.

64801242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 64801242 is about 8049.9218629748. The cubic root of 64801242 is about 401.6623361925.

The spelling of 64801242 in words is "sixty-four million, eight hundred one thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 127 198 254 297 381 594 762 859 1143 1397 1718 2286 2577 2794 3429 4191 5154 6858 7731 8382 9449 12573 15462 18898 23193 25146 28347 37719 46386 56694 75438 85041 109093 170082 218186 255123 327279 510246 654558 981837 1200023 1963674 2400046 2945511 3600069 5891022 7200138 10800207 21600414 32400621 64801242