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55158640 = 2456189127
BaseRepresentation
bin1101001001101…
…0011101110000
310211210100102121
43102122131300
5103110034030
65250124024
71236561235
oct322323560
9124710377
1055158640
1129154559
1216580614
13b573464
14747b78c
154c9847a
hex349a770

55158640 has 80 divisors (see below), whose sum is σ = 132848640. Its totient is φ = 21288960.

The previous prime is 55158619. The next prime is 55158643. The reversal of 55158640 is 4685155.

It is a happy number.

55158640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 55158596 and 55158605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55158643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 434257 + ... + 434383.

It is an arithmetic number, because the mean of its divisors is an integer number (1660608).

Almost surely, 255158640 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 55158640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66424320).

55158640 is an abundant number, since it is smaller than the sum of its proper divisors (77690000).

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

55158640 is a wasteful number, since it uses less digits than its factorization.

55158640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 34.

The square root of 55158640 is about 7426.8862923839. The cubic root of 55158640 is about 380.6605316884.

The spelling of 55158640 in words is "fifty-five million, one hundred fifty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 89 122 127 178 244 254 305 356 445 488 508 610 635 712 890 976 1016 1220 1270 1424 1780 2032 2440 2540 3560 4880 5080 5429 7120 7747 10160 10858 11303 15494 21716 22606 27145 30988 38735 43432 45212 54290 56515 61976 77470 86864 90424 108580 113030 123952 154940 180848 217160 226060 309880 434320 452120 619760 689483 904240 1378966 2757932 3447415 5515864 6894830 11031728 13789660 27579320 55158640