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55040064 = 263439653
BaseRepresentation
bin1101000111110…
…1100001000000
310211120022202220
43101331201000
5103042240224
65243411040
71235555442
oct321754100
9124508686
1055040064
1129083462
1216523a80
13b5314b1
14744a492
154c73279
hex347d840

55040064 has 56 divisors (see below), whose sum is σ = 146182080. Its totient is φ = 18276864.

The previous prime is 55040059. The next prime is 55040071. The reversal of 55040064 is 46004055.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 83962 + ... + 84614.

Almost surely, 255040064 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 55040064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73091040).

55040064 is an abundant number, since it is smaller than the sum of its proper divisors (91142016).

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

55040064 is a wasteful number, since it uses less digits than its factorization.

55040064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 55040064 is about 7418.8991097062. The cubic root of 55040064 is about 380.3875639593.

The spelling of 55040064 in words is "fifty-five million, forty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 439 653 878 1306 1317 1756 1959 2612 2634 3512 3918 5224 5268 7024 7836 10448 10536 14048 15672 20896 21072 28096 31344 41792 42144 62688 84288 125376 286667 573334 860001 1146668 1720002 2293336 3440004 4586672 6880008 9173344 13760016 18346688 27520032 55040064