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55137375 = 335317312
BaseRepresentation
bin1101001001010…
…1010001011111
310211202021021000
43102111101133
5103103344000
65245441343
71236442236
oct322252137
9124667230
1055137375
112913a587
1216570253
13b566887
147473b1d
154c92000
hex349545f

55137375 has 96 divisors (see below), whose sum is σ = 111533760. Its totient is φ = 26784000.

The previous prime is 55137359. The next prime is 55137377. The reversal of 55137375 is 57373155.

It is a happy number.

55137375 is a `hidden beast` number, since 5 + 513 + 73 + 75 = 666.

It is not a de Polignac number, because 55137375 - 24 = 55137359 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55137377) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1778610 + ... + 1778640.

It is an arithmetic number, because the mean of its divisors is an integer number (1161810).

Almost surely, 255137375 is an apocalyptic number.

55137375 is an abundant number, since it is smaller than the sum of its proper divisors (56396385).

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

55137375 is a wasteful number, since it uses less digits than its factorization.

55137375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 56 counting only the distinct ones).

The product of its digits is 55125, while the sum is 36.

The square root of 55137375 is about 7425.4545315422. The cubic root of 55137375 is about 380.6116074300.

The spelling of 55137375 in words is "fifty-five million, one hundred thirty-seven thousand, three hundred seventy-five".

Divisors: 1 3 5 9 15 17 25 27 31 45 51 75 85 93 125 135 153 155 225 255 279 375 425 459 465 527 675 765 775 837 961 1125 1275 1395 1581 2125 2295 2325 2635 2883 3375 3825 3875 4185 4743 4805 6375 6975 7905 8649 11475 11625 13175 14229 14415 16337 19125 20925 23715 24025 25947 34875 39525 43245 49011 57375 65875 71145 72075 81685 104625 118575 120125 129735 147033 197625 216225 245055 355725 360375 408425 441099 592875 648675 735165 1081125 1225275 1778625 2042125 2205495 3243375 3675825 6126375 11027475 18379125 55137375