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55658040 = 23354491033
BaseRepresentation
bin1101010001010…
…0011000111000
310212201201110220
43110110120320
5103222024130
65304540040
71244041224
oct324243070
9125651426
1055658040
1129465789
1216781620
13b6b9869
14756b784
154d46410
hex3514638

55658040 has 64 divisors (see below), whose sum is σ = 167508000. Its totient is φ = 14794752.

The previous prime is 55658023. The next prime is 55658041. The reversal of 55658040 is 4085655.

It is a junction number, because it is equal to n+sod(n) for n = 55657992 and 55658010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55658041) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 53364 + ... + 54396.

Almost surely, 255658040 is an apocalyptic number.

It is an amenable number.

55658040 is an abundant number, since it is smaller than the sum of its proper divisors (111849960).

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

55658040 is a wasteful number, since it uses less digits than its factorization.

55658040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The square root of 55658040 is about 7460.4316229023. The cubic root of 55658040 is about 381.8059008625.

The spelling of 55658040 in words is "fifty-five million, six hundred fifty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 449 898 1033 1347 1796 2066 2245 2694 3099 3592 4132 4490 5165 5388 6198 6735 8264 8980 10330 10776 12396 13470 15495 17960 20660 24792 26940 30990 41320 53880 61980 123960 463817 927634 1391451 1855268 2319085 2782902 3710536 4638170 5565804 6957255 9276340 11131608 13914510 18552680 27829020 55658040