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55145124 = 2234295869
BaseRepresentation
bin1101001001011…
…1001010100100
310211202122220000
43102113022210
5103104120444
65245541300
71236503646
oct322271244
9124678800
1055145124
1129145391
1216574830
13b56a268
147476896
154c94469
hex34972a4

55145124 has 60 divisors (see below), whose sum is σ = 149156700. Its totient is φ = 17744832.

The previous prime is 55145071. The next prime is 55145137. The reversal of 55145124 is 42154155.

It can be written as a sum of positive squares in 2 ways, for example, as 15681600 + 39463524 = 3960^2 + 6282^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6462 + ... + 12330.

It is an arithmetic number, because the mean of its divisors is an integer number (2485945).

Almost surely, 255145124 is an apocalyptic number.

55145124 is a gapful number since it is divisible by the number (54) 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 55145124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74578350).

55145124 is an abundant number, since it is smaller than the sum of its proper divisors (94011576).

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

55145124 is a wasteful number, since it uses less digits than its factorization.

55145124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5914 (or 5903 counting only the distinct ones).

The product of its digits is 4000, while the sum is 27.

The square root of 55145124 is about 7425.9762994505. The cubic root of 55145124 is about 380.6294369645.

Adding to 55145124 its reverse (42154155), we get a palindrome (97299279).

The spelling of 55145124 in words is "fifty-five million, one hundred forty-five thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 261 324 348 522 783 1044 1566 2349 3132 4698 5869 9396 11738 17607 23476 35214 52821 70428 105642 158463 170201 211284 316926 340402 475389 510603 633852 680804 950778 1021206 1531809 1901556 2042412 3063618 4595427 6127236 9190854 13786281 18381708 27572562 55145124