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450053505 = 3251131139211
BaseRepresentation
bin11010110100110…
…100010110000001
31011100212002100100
4122310310112001
51410203203010
6112354113013
714103251226
oct3264642601
91140762310
10450053505
11211052950
1210687b769
1372318165
1443ab394d
152979e2c0
hex1ad34581

450053505 has 96 divisors (see below), whose sum is σ = 888975360. Its totient is φ = 208656000.

The previous prime is 450053503. The next prime is 450053521. The reversal of 450053505 is 505350054.

It is not a de Polignac number, because 450053505 - 21 = 450053503 is a prime.

It is not an unprimeable number, because it can be changed into a prime (450053501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2132850 + ... + 2133060.

It is an arithmetic number, because the mean of its divisors is an integer number (9260160).

Almost surely, 2450053505 is an apocalyptic number.

450053505 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

450053505 is a deficient number, since it is larger than the sum of its proper divisors (438921855).

450053505 is a wasteful number, since it uses less digits than its factorization.

450053505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 7500, while the sum is 27.

The square root of 450053505 is about 21214.4645230560. The cubic root of 450053505 is about 766.3398025871.

The spelling of 450053505 in words is "four hundred fifty million, fifty-three thousand, five hundred five".

Divisors: 1 3 5 9 11 15 31 33 45 55 93 99 139 155 165 211 279 341 417 465 495 633 695 1023 1055 1251 1395 1529 1705 1899 2085 2321 3069 3165 4309 4587 5115 6255 6541 6963 7645 9495 11605 12927 13761 15345 19623 20889 21545 22935 29329 32705 34815 38781 47399 58869 64635 68805 71951 87987 98115 104445 142197 146645 193905 215853 236995 263961 294345 322619 359755 426591 439935 647559 710985 909199 967857 1079265 1319805 1613095 2132955 2727597 2903571 3237795 4545995 4839285 8182791 10001189 13637985 14517855 30003567 40913955 50005945 90010701 150017835 450053505