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55753542 = 23313431847
BaseRepresentation
bin1101010010101…
…1101101000110
310212220120111000
43110223231012
5103233103132
65310554130
71244616525
oct324535506
9125816430
1055753542
1129520509
1216808946
13b721180
1475944bc
154d6487c
hex352bb46

55753542 has 64 divisors (see below), whose sum is σ = 136604160. Its totient is φ = 16746912.

The previous prime is 55753517. The next prime is 55753549. The reversal of 55753542 is 24535755.

55753542 is a `hidden beast` number, since 557 + 53 + 54 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 55753497 and 55753506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55753549) 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, 29263 + ... + 31109.

It is an arithmetic number, because the mean of its divisors is an integer number (2134440).

Almost surely, 255753542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55753542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68302080).

55753542 is an abundant number, since it is smaller than the sum of its proper divisors (80850618).

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

55753542 is a wasteful number, since it uses less digits than its factorization.

55753542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1914 (or 1908 counting only the distinct ones).

The product of its digits is 105000, while the sum is 36.

The square root of 55753542 is about 7466.8294476304. The cubic root of 55753542 is about 382.0241525988.

The spelling of 55753542 in words is "fifty-five million, seven hundred fifty-three thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 43 54 78 86 117 129 234 258 351 387 559 702 774 1118 1161 1677 1847 2322 3354 3694 5031 5541 10062 11082 15093 16623 24011 30186 33246 48022 49869 72033 79421 99738 144066 158842 216099 238263 432198 476526 648297 714789 1032473 1296594 1429578 2064946 2144367 3097419 4288734 6194838 9292257 18584514 27876771 55753542