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53260416 = 273411467
BaseRepresentation
bin1100101100101…
…1000010000000
310201012220120000
43023023002000
5102113313131
65141320000
71214464116
oct313130200
9121186500
1053260416
1128078380
1215a06000
13b05a451
147105ab6
154a20ce6
hex32cb080

53260416 has 160 divisors (see below), whose sum is σ = 173281680. Its totient is φ = 16104960.

The previous prime is 53260411. The next prime is 53260453. The reversal of 53260416 is 61406235.

53260416 is a `hidden beast` number, since 53 + 2 + 604 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 53260416.

It is not an unprimeable number, because it can be changed into a prime (53260411) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 113815 + ... + 114281.

Almost surely, 253260416 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 53260416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86640840).

53260416 is an abundant number, since it is smaller than the sum of its proper divisors (120021264).

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

53260416 is a wasteful number, since it uses less digits than its factorization.

53260416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 53260416 is about 7297.9734173262. The cubic root of 53260416 is about 376.2427887199.

The spelling of 53260416 in words is "fifty-three million, two hundred sixty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 81 88 96 99 108 128 132 144 162 176 192 198 216 264 288 297 324 352 384 396 432 467 528 576 594 648 704 792 864 891 934 1056 1152 1188 1296 1401 1408 1584 1728 1782 1868 2112 2376 2592 2802 3168 3456 3564 3736 4203 4224 4752 5137 5184 5604 6336 7128 7472 8406 9504 10274 10368 11208 12609 12672 14256 14944 15411 16812 19008 20548 22416 25218 28512 29888 30822 33624 37827 38016 41096 44832 46233 50436 57024 59776 61644 67248 75654 82192 89664 92466 100872 114048 123288 134496 138699 151308 164384 179328 184932 201744 246576 268992 277398 302616 328768 369864 403488 416097 493152 537984 554796 605232 657536 739728 806976 832194 986304 1109592 1210464 1479456 1613952 1664388 1972608 2219184 2420928 2958912 3328776 4438368 4841856 5917824 6657552 8876736 13315104 17753472 26630208 53260416