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553105472 = 2617232312
BaseRepresentation
bin100000111101111…
…011100001000000
31102112202200001212
4200331323201000
52113043333342
6130514545252
716464214253
oct4075734100
91375680055
10553105472
11264239367
12135298228
138a789b5a
145365b09a
1533858182
hex20f7b840

553105472 has 126 divisors (see below), whose sum is σ = 1255308894. Its totient is φ = 240936960.

The previous prime is 553105453. The next prime is 553105481. The reversal of 553105472 is 274501355.

It can be written as a sum of positive squares in only one way, i.e., 520569856 + 32535616 = 22816^2 + 5704^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 17842097 + ... + 17842127.

It is an arithmetic number, because the mean of its divisors is an integer number (9962769).

Almost surely, 2553105472 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 553105472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627654447).

553105472 is an abundant number, since it is smaller than the sum of its proper divisors (702203422).

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

553105472 is a wasteful number, since it uses less digits than its factorization.

553105472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 32.

The square root of 553105472 is about 23518.1944885231. The cubic root of 553105472 is about 820.8604254147.

The spelling of 553105472 in words is "five hundred fifty-three million, one hundred five thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 17 23 31 32 34 46 62 64 68 92 124 136 184 248 272 368 391 496 527 529 544 713 736 782 961 992 1054 1058 1088 1426 1472 1564 1922 1984 2108 2116 2852 3128 3844 4216 4232 5704 6256 7688 8432 8464 8993 11408 12121 12512 15376 16337 16399 16864 16928 17986 22103 22816 24242 25024 30752 32674 32798 33728 33856 35972 44206 45632 48484 61504 65348 65596 71944 88412 96968 130696 131192 143888 176824 193936 261392 262384 278783 287776 353648 375751 387872 508369 522784 524768 557566 575552 707296 751502 775744 1016738 1045568 1049536 1115132 1414592 1503004 2033476 2230264 3006008 4066952 4460528 6012016 8133904 8642273 8921056 12024032 16267808 17284546 17842112 24048064 32535616 34569092 69138184 138276368 276552736 553105472