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52454656 = 28172709
BaseRepresentation
bin1100100000011…
…0010100000000
310122200222021001
43020012110000
5101412022111
65112141344
71204600012
oct310062400
9118628231
1052454656
1127677a61
1215697854
13ab37777
146d761b2
1549121c1
hex3206500

52454656 has 54 divisors (see below), whose sum is σ = 111382670. Its totient is φ = 24649728.

The previous prime is 52454629. The next prime is 52454663. The reversal of 52454656 is 65645425.

52454656 = T103 + T104 + ... + T680.

It can be written as a sum of positive squares in 3 ways, for example, as 11289600 + 41165056 = 3360^2 + 6416^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 73630 + ... + 74338.

Almost surely, 252454656 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 52454656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55691335).

52454656 is an abundant number, since it is smaller than the sum of its proper divisors (58928014).

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

52454656 is an equidigital number, since it uses as much as digits as its factorization.

52454656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 728 counting only the distinct ones).

The product of its digits is 144000, while the sum is 37.

The square root of 52454656 is about 7242.5586638977. The cubic root of 52454656 is about 374.3357865864.

The spelling of 52454656 in words is "fifty-two million, four hundred fifty-four thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 289 544 578 709 1088 1156 1418 2176 2312 2836 4352 4624 5672 9248 11344 12053 18496 22688 24106 36992 45376 48212 73984 90752 96424 181504 192848 204901 385696 409802 771392 819604 1542784 1639208 3085568 3278416 6556832 13113664 26227328 52454656