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52953516 = 223272112729
BaseRepresentation
bin1100101000000…
…0000110101100
310200122022120100
43022000012230
5102024003031
65130551100
71212045300
oct312000654
9120568510
1052953516
1127988840
1215898490
13ac80855
147065d00
1549aede6
hex32801ac

52953516 has 108 divisors (see below), whose sum is σ = 169926120. Its totient is φ = 13749120.

The previous prime is 52953499. The next prime is 52953533. The reversal of 52953516 is 61535925.

52953516 is a `hidden beast` number, since 52 + 95 + 3 + 516 = 666.

It is an interprime number because it is at equal distance from previous prime (52953499) and next prime (52953533).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18040 + ... + 20768.

It is an arithmetic number, because the mean of its divisors is an integer number (1573390).

Almost surely, 252953516 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 52953516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84963060).

52953516 is an abundant number, since it is smaller than the sum of its proper divisors (116972604).

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

52953516 is a wasteful number, since it uses less digits than its factorization.

52953516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2764 (or 2752 counting only the distinct ones).

The product of its digits is 40500, while the sum is 36.

The square root of 52953516 is about 7276.9166547378. The cubic root of 52953516 is about 375.5187274607.

It can be divided in two parts, 529 and 53516, that added together give a palindrome (54045).

The spelling of 52953516 in words is "fifty-two million, nine hundred fifty-three thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 49 63 66 77 84 98 99 126 132 147 154 196 198 231 252 294 308 396 441 462 539 588 693 882 924 1078 1386 1617 1764 2156 2729 2772 3234 4851 5458 6468 8187 9702 10916 16374 19103 19404 24561 30019 32748 38206 49122 57309 60038 76412 90057 98244 114618 120076 133721 171927 180114 210133 229236 267442 270171 343854 360228 401163 420266 534884 540342 630399 687708 802326 840532 1080684 1203489 1260798 1470931 1604652 1891197 2406978 2521596 2941862 3782394 4412793 4813956 5883724 7564788 8825586 13238379 17651172 26476758 52953516