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53073405 = 32571117253
BaseRepresentation
bin1100101001110…
…1010111111101
310200212102000200
43022131113331
5102041322110
65133314113
71213054650
oct312352775
9120772020
1053073405
1127a5a920
1215935939
13acc32a8
147097897
1549d56c0
hex329d5fd

53073405 has 144 divisors (see below), whose sum is σ = 124136064. Its totient is φ = 20367360.

The previous prime is 53073401. The next prime is 53073467. The reversal of 53073405 is 50437035.

It is a happy number.

It is not a de Polignac number, because 53073405 - 22 = 53073401 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53073401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1001359 + ... + 1001411.

It is an arithmetic number, because the mean of its divisors is an integer number (862056).

Almost surely, 253073405 is an apocalyptic number.

53073405 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

53073405 is an abundant number, since it is smaller than the sum of its proper divisors (71062659).

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

53073405 is a wasteful number, since it uses less digits than its factorization.

53073405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 27.

The square root of 53073405 is about 7285.1496209755. The cubic root of 53073405 is about 375.8019106160.

The spelling of 53073405 in words is "fifty-three million, seventy-three thousand, four hundred five".

Divisors: 1 3 5 7 9 11 15 17 21 33 35 45 51 53 55 63 77 85 99 105 119 153 159 165 187 231 255 265 289 315 357 371 385 477 495 561 583 595 693 765 795 867 901 935 1071 1113 1155 1309 1445 1683 1749 1785 1855 2023 2385 2601 2703 2805 2915 3179 3339 3465 3927 4081 4335 4505 5247 5355 5565 6069 6307 6545 8109 8415 8745 9537 9911 10115 11781 12243 13005 13515 15317 15895 16695 18207 18921 19635 20405 22253 26235 28611 29733 30345 31535 36729 40545 45951 47685 49555 56763 58905 61215 66759 69377 76585 89199 91035 94605 107219 111265 137853 143055 148665 168487 183645 200277 208131 229755 283815 321657 333795 346885 445995 505461 536095 624393 689265 842435 964971 1001385 1040655 1179409 1516383 1608285 2527305 3121965 3538227 4824855 5897045 7581915 10614681 17691135 53073405