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53069148 = 223311231131
BaseRepresentation
bin1100101001110…
…0010101011100
310200212012012000
43022130111130
5102041203043
65133242300
71213036356
oct312342534
9120765160
1053069148
1127a57700
1215933390
13acc1382
1470960d6
1549d42d3
hex329c55c

53069148 has 144 divisors (see below), whose sum is σ = 157301760. Its totient is φ = 15444000.

The previous prime is 53069141. The next prime is 53069153. The reversal of 53069148 is 84196035.

53069148 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53069141) 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 47 ways as a sum of consecutive naturals, for example, 405043 + ... + 405173.

Almost surely, 253069148 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 53069148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78650880).

53069148 is an abundant number, since it is smaller than the sum of its proper divisors (104232612).

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

53069148 is a wasteful number, since it uses less digits than its factorization.

53069148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 53069148 is about 7284.8574454137. The cubic root of 53069148 is about 375.7918626989.

The spelling of 53069148 in words is "fifty-three million, sixty-nine thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 31 33 36 44 54 62 66 93 99 108 121 124 131 132 186 198 242 262 279 297 341 363 372 393 396 484 524 558 594 682 726 786 837 1023 1089 1116 1179 1188 1364 1441 1452 1572 1674 2046 2178 2358 2882 3069 3267 3348 3537 3751 4061 4092 4323 4356 4716 5764 6138 6534 7074 7502 8122 8646 9207 11253 12183 12276 12969 13068 14148 15004 15851 16244 17292 18414 22506 24366 25938 31702 33759 36549 36828 38907 44671 45012 47553 48732 51876 63404 67518 73098 77814 89342 95106 101277 109647 134013 135036 142659 146196 155628 178684 190212 202554 219294 268026 285318 402039 405108 427977 438588 491381 536052 570636 804078 855954 982762 1206117 1474143 1608156 1711908 1965524 2412234 2948286 4422429 4824468 5896572 8844858 13267287 17689716 26534574 53069148