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52474880 = 210537277
BaseRepresentation
bin1100100000101…
…1010000000000
310122202000000002
43020023100000
5101413144010
65112415132
71205012663
oct310132000
9118660002
1052474880
1127691177
12156a74a8
13ab43a33
146d7d6da
1549181a5
hex320b400

52474880 has 88 divisors (see below), whose sum is σ = 129747048. Its totient is φ = 20348928.

The previous prime is 52474861. The next prime is 52474883. The reversal of 52474880 is 8847425.

It can be written as a sum of positive squares in 4 ways, for example, as 6885376 + 45589504 = 2624^2 + 6752^2 .

It is a super-2 number, since 2×524748802 = 5507226062028800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52474883) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 189302 + ... + 189578.

Almost surely, 252474880 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 52474880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64873524).

52474880 is an abundant number, since it is smaller than the sum of its proper divisors (77272168).

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

52474880 is a wasteful number, since it uses less digits than its factorization.

52474880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 38.

The square root of 52474880 is about 7243.9547210070. The cubic root of 52474880 is about 374.3838890479.

The spelling of 52474880 in words is "fifty-two million, four hundred seventy-four thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 128 148 160 185 256 277 296 320 370 512 554 592 640 740 1024 1108 1184 1280 1385 1480 2216 2368 2560 2770 2960 4432 4736 5120 5540 5920 8864 9472 10249 11080 11840 17728 18944 20498 22160 23680 35456 37888 40996 44320 47360 51245 70912 81992 88640 94720 102490 141824 163984 177280 189440 204980 283648 327968 354560 409960 655936 709120 819920 1311872 1418240 1639840 2623744 3279680 5247488 6559360 10494976 13118720 26237440 52474880