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53023005 = 345759317
BaseRepresentation
bin1100101001000…
…1000100011101
310200202211220000
43022101010131
5102033214010
65132244513
71212455010
oct312210435
9120684800
1053023005
1127a25a72
1215910739
13aca6379
147083377
1549c57c0
hex329111d

53023005 has 80 divisors (see below), whose sum is σ = 110816640. Its totient is φ = 23753088.

The previous prime is 53022967. The next prime is 53023007. The reversal of 53023005 is 50032035.

53023005 = T286 + T287 + ... + T698.

It is not a de Polignac number, because 53023005 - 215 = 52990237 is a prime.

It is a super-2 number, since 2×530230052 = 5622878118460050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53023007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 167107 + ... + 167423.

It is an arithmetic number, because the mean of its divisors is an integer number (1385208).

Almost surely, 253023005 is an apocalyptic number.

It is an amenable number.

53023005 is an abundant number, since it is smaller than the sum of its proper divisors (57793635).

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

53023005 is a wasteful number, since it uses less digits than its factorization.

53023005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 18.

The square root of 53023005 is about 7281.6897077533. The cubic root of 53023005 is about 375.6829155819.

The spelling of 53023005 in words is "fifty-three million, twenty-three thousand, five".

Divisors: 1 3 5 7 9 15 21 27 35 45 59 63 81 105 135 177 189 295 315 317 405 413 531 567 885 945 951 1239 1585 1593 2065 2219 2655 2835 2853 3717 4755 4779 6195 6657 7965 8559 11095 11151 14265 18585 18703 19971 23895 25677 33285 33453 42795 55755 56109 59913 93515 99855 128385 130921 167265 168327 179739 280545 299565 392763 504981 654605 841635 898695 1178289 1514943 1963815 2524905 3534867 5891445 7574715 10604601 17674335 53023005