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60249664 = 264122961
BaseRepresentation
bin1110010111010…
…1011001000000
311012101000000001
43211311121000
5110410442124
65551205344
71331053666
oct345653100
9135330001
1060249664
1131011512
1218216854
13c6367b7
148004c36
155451b44
hex3975640

60249664 has 28 divisors (see below), whose sum is σ = 122479308. Its totient is φ = 29388800.

The previous prime is 60249661. The next prime is 60249691. The reversal of 60249664 is 46694206.

It can be written as a sum of positive squares in 2 ways, for example, as 19289664 + 40960000 = 4392^2 + 6400^2 .

It is a super-2 number, since 2×602496642 = 7260044024225792, which contains 22 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (60249661) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8857 + ... + 14104.

It is an arithmetic number, because the mean of its divisors is an integer number (4374261).

Almost surely, 260249664 is an apocalyptic number.

60249664 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

60249664 is an abundant number, since it is smaller than the sum of its proper divisors (62229644).

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

60249664 is a wasteful number, since it uses less digits than its factorization.

60249664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23014 (or 23004 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The square root of 60249664 is about 7762.0657044372. The cubic root of 60249664 is about 392.0290135404.

The spelling of 60249664 in words is "sixty million, two hundred forty-nine thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 41 64 82 164 328 656 1312 2624 22961 45922 91844 183688 367376 734752 941401 1469504 1882802 3765604 7531208 15062416 30124832 60249664