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450441552 = 243113723057
BaseRepresentation
bin11010110110010…
…011000101010000
31011101120210122110
4122312103011100
51410303112202
6112410305320
714106455451
oct3266230520
91141523573
10450441552
11211298450
12106a28240
1372422982
1443b75128
152982926c
hex1ad93150

450441552 has 80 divisors (see below), whose sum is σ = 1303791552. Its totient is φ = 132802560.

The previous prime is 450441533. The next prime is 450441553. The reversal of 450441552 is 255144054.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450441553) 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 15 ways as a sum of consecutive naturals, for example, 8008 + ... + 31064.

Almost surely, 2450441552 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 450441552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651895776).

450441552 is an abundant number, since it is smaller than the sum of its proper divisors (853350000).

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

450441552 is a wasteful number, since it uses less digits than its factorization.

450441552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23116 (or 23110 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

The square root of 450441552 is about 21223.6083642721. The cubic root of 450441552 is about 766.5599915430.

It can be divided in two parts, 4504 and 41552, that added together give a triangular number (46056 = T303).

The spelling of 450441552 in words is "four hundred fifty million, four hundred forty-one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 37 44 48 66 74 88 111 132 148 176 222 264 296 407 444 528 592 814 888 1221 1628 1776 2442 3256 4884 6512 9768 19536 23057 46114 69171 92228 138342 184456 253627 276684 368912 507254 553368 760881 853109 1014508 1106736 1521762 1706218 2029016 2559327 3043524 3412436 4058032 5118654 6087048 6824872 9384199 10237308 12174096 13649744 18768398 20474616 28152597 37536796 40949232 56305194 75073592 112610388 150147184 225220776 450441552