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53062884 = 22337237271
BaseRepresentation
bin1100101001101…
…0110011100100
310200211212121000
43022122303210
5102041003014
65133153300
71213012200
oct312326344
9120755530
1053062884
1127a52a26
121592b830
13acbb574
147093b00
1549d2509
hex329ace4

53062884 has 144 divisors (see below), whose sum is σ = 164962560. Its totient is φ = 14696640.

The previous prime is 53062883. The next prime is 53062907. The reversal of 53062884 is 48826035.

53062884 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 (53062883) 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, 195669 + ... + 195939.

Almost surely, 253062884 is an apocalyptic number.

53062884 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 53062884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82481280).

53062884 is an abundant number, since it is smaller than the sum of its proper divisors (111899676).

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

53062884 is a wasteful number, since it uses less digits than its factorization.

53062884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 53062884 is about 7284.4274998108. The cubic root of 53062884 is about 375.7770766262. Note that the first 3 decimals are identical.

The spelling of 53062884 in words is "fifty-three million, sixty-two thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 37 42 49 54 63 74 84 98 108 111 126 147 148 189 196 222 252 259 271 294 333 378 441 444 518 542 588 666 756 777 813 882 999 1036 1084 1323 1332 1554 1626 1764 1813 1897 1998 2331 2439 2646 3108 3252 3626 3794 3996 4662 4878 5292 5439 5691 6993 7252 7317 7588 9324 9756 10027 10878 11382 13279 13986 14634 16317 17073 20054 21756 22764 26558 27972 29268 30081 32634 34146 39837 40108 48951 51219 53116 60162 65268 68292 70189 79674 90243 97902 102438 119511 120324 140378 159348 180486 195804 204876 210567 239022 270729 280756 358533 360972 421134 478044 491323 541458 631701 717066 842268 982646 1082916 1263402 1434132 1473969 1895103 1965292 2526804 2947938 3790206 4421907 5895876 7580412 8843814 13265721 17687628 26531442 53062884