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64752480 = 25335131153
BaseRepresentation
bin1111011100000…
…0101101100000
311111211202201000
43313000231200
5113034034410
610231512000
71414246512
oct367005540
9144752630
1064752480
1133607551
1219828600
13105521a0
148857bb2
155a40dc0
hex3dc0b60

64752480 has 192 divisors, whose sum is σ = 244278720. Its totient is φ = 15925248.

The previous prime is 64752463. The next prime is 64752481. The reversal of 64752480 is 8425746.

64752480 is a `hidden beast` number, since 647 + 5 + 2 + 4 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64752481) 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, 55584 + ... + 56736.

It is an arithmetic number, because the mean of its divisors is an integer number (1272285).

Almost surely, 264752480 is an apocalyptic number.

64752480 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64752480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122139360).

64752480 is an abundant number, since it is smaller than the sum of its proper divisors (179526240).

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

64752480 is a wasteful number, since it uses less digits than its factorization.

64752480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1190 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 64752480 is about 8046.8925679420. The cubic root of 64752480 is about 401.5615625398.

The spelling of 64752480 in words is "sixty-four million, seven hundred fifty-two thousand, four hundred eighty".