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53041248 = 25321331457
BaseRepresentation
bin1100101001010…
…1100001100000
310200210202220200
43022111201200
5102034304443
65132505200
71212562131
oct312254140
9120722820
1053041248
1127a38747
121591b200
13acb1770
147089c88
1549cadd3
hex3295860

53041248 has 144 divisors (see below), whose sum is σ = 168045696. Its totient is φ = 15759360.

The previous prime is 53041223. The next prime is 53041259. The reversal of 53041248 is 84214035.

53041248 is a `hidden beast` number, since 530 + 4 + 124 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115836 + ... + 116292.

It is an arithmetic number, because the mean of its divisors is an integer number (1166984).

Almost surely, 253041248 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 53041248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84022848).

53041248 is an abundant number, since it is smaller than the sum of its proper divisors (115004448).

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

53041248 is a wasteful number, since it uses less digits than its factorization.

53041248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 53041248 is about 7282.9422625749. The cubic root of 53041248 is about 375.7259962382.

The spelling of 53041248 in words is "fifty-three million, forty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 31 32 36 39 48 52 62 72 78 93 96 104 117 124 144 156 186 208 234 248 279 288 312 372 403 416 457 468 496 558 624 744 806 914 936 992 1116 1209 1248 1371 1488 1612 1828 1872 2232 2418 2742 2976 3224 3627 3656 3744 4113 4464 4836 5484 5941 6448 7254 7312 8226 8928 9672 10968 11882 12896 14167 14508 14624 16452 17823 19344 21936 23764 28334 29016 32904 35646 38688 42501 43872 47528 53469 56668 58032 65808 71292 85002 95056 106938 113336 116064 127503 131616 142584 170004 184171 190112 213876 226672 255006 285168 340008 368342 427752 453344 510012 552513 570336 680016 736684 855504 1020024 1105026 1360032 1473368 1657539 1711008 2040048 2210052 2946736 3315078 4080096 4420104 5893472 6630156 8840208 13260312 17680416 26520624 53041248