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64468840 = 2353151991
BaseRepresentation
bin1111010111101…
…1011101101000
311111022100121211
43311323131220
5113001000330
610221442504
71411655542
oct365733550
9144270554
1064468840
1133433437
1219710434
1310483057
1487c2692
1559d6d2a
hex3d7b768

64468840 has 32 divisors (see below), whose sum is σ = 149736960. Its totient is φ = 24955200.

The previous prime is 64468801. The next prime is 64468849. The reversal of 64468840 is 4886446.

It is a Smith number, since the sum of its digits (40) 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 (40).

It is a junction number, because it is equal to n+sod(n) for n = 64468793 and 64468802.

It is not an unprimeable number, because it can be changed into a prime (64468849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24756 + ... + 27235.

It is an arithmetic number, because the mean of its divisors is an integer number (4679280).

Almost surely, 264468840 is an apocalyptic number.

It is an amenable number.

64468840 is an abundant number, since it is smaller than the sum of its proper divisors (85268120).

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

64468840 is a wasteful number, since it uses less digits than its factorization.

64468840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52033 (or 52029 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The square root of 64468840 is about 8029.2490308870. The cubic root of 64468840 is about 400.9743745583.

The spelling of 64468840 in words is "sixty-four million, four hundred sixty-eight thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1240 51991 103982 207964 259955 415928 519910 1039820 1611721 2079640 3223442 6446884 8058605 12893768 16117210 32234420 64468840