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53197144 = 23721113273
BaseRepresentation
bin1100101011101…
…1100101011000
310201002200202121
43022323211120
5102104302034
65140111024
71214111500
oct312734530
9121080677
1053197144
1128034890
1215995474
13b037700
1470caa00
154a0c1b4
hex32bb958

53197144 has 144 divisors (see below), whose sum is σ = 138940920. Its totient is φ = 18869760.

The previous prime is 53197141. The next prime is 53197153. The reversal of 53197144 is 44179135.

It is a super-2 number, since 2×531971442 = 5659872259513472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53197141) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 728692 + ... + 728764.

Almost surely, 253197144 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 53197144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69470460).

53197144 is an abundant number, since it is smaller than the sum of its proper divisors (85743776).

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

53197144 is a wasteful number, since it uses less digits than its factorization.

53197144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 106 counting only the distinct ones).

The product of its digits is 15120, while the sum is 34.

The square root of 53197144 is about 7293.6372270631. The cubic root of 53197144 is about 376.0937407742.

Subtracting from 53197144 its reverse (44179135), we obtain a square (9018009 = 30032).

The spelling of 53197144 in words is "fifty-three million, one hundred ninety-seven thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 49 52 56 73 77 88 91 98 104 143 146 154 169 182 196 286 292 308 338 364 392 511 539 572 584 616 637 676 728 803 949 1001 1022 1078 1144 1183 1274 1352 1606 1859 1898 2002 2044 2156 2366 2548 3212 3577 3718 3796 4004 4088 4312 4732 5096 5621 6424 6643 7007 7154 7436 7592 8008 8281 9464 10439 11242 12337 13013 13286 14014 14308 14872 16562 20878 22484 24674 26026 26572 28028 28616 33124 39347 41756 44968 46501 49348 52052 53144 56056 66248 73073 78694 83512 86359 91091 93002 98696 104104 135707 146146 157388 172718 182182 186004 271414 292292 314776 345436 364364 372008 511511 542828 584584 604513 690872 728728 949949 1023022 1085656 1209026 1899898 2046044 2418052 3799796 4092088 4836104 6649643 7599592 13299286 26598572 53197144