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64293424 = 24131033001
BaseRepresentation
bin1111010101000…
…0101000110000
311110222102222221
43311100220300
5112424342144
610214010424
71410325246
oct365205060
9143872887
1064293424
1133323668
1219646a14
1310421260
148778796
15599ed84
hex3d50a30

64293424 has 40 divisors (see below), whose sum is σ = 135498272. Its totient is φ = 29376000.

The previous prime is 64293413. The next prime is 64293431. The reversal of 64293424 is 42439246.

It is a self number, because there is not a number n which added to its sum of digits gives 64293424.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19924 + ... + 22924.

Almost surely, 264293424 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 64293424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67749136).

64293424 is an abundant number, since it is smaller than the sum of its proper divisors (71204848).

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

64293424 is a wasteful number, since it uses less digits than its factorization.

64293424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3125 (or 3119 counting only the distinct ones).

The product of its digits is 41472, while the sum is 34.

The square root of 64293424 is about 8018.3180281154. The cubic root of 64293424 is about 400.6103681531.

The spelling of 64293424 in words is "sixty-four million, two hundred ninety-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 52 103 104 206 208 412 824 1339 1648 2678 3001 5356 6002 10712 12004 21424 24008 39013 48016 78026 156052 309103 312104 618206 624208 1236412 2472824 4018339 4945648 8036678 16073356 32146712 64293424