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52433440 = 2551737521
BaseRepresentation
bin1100100000000…
…1001000100000
310122122220011021
43020001020200
5101410332230
65111455224
71204451113
oct310011040
9118586137
1052433440
1127663024
1215687514
13ab2ac07
146d6c57a
15490ac7a
hex3201220

52433440 has 96 divisors (see below), whose sum is σ = 134964144. Its totient is φ = 19169280.

The previous prime is 52433419. The next prime is 52433453. The reversal of 52433440 is 4433425.

It can be written as a sum of positive squares in 8 ways, for example, as 36144144 + 16289296 = 6012^2 + 4036^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100380 + ... + 100900.

Almost surely, 252433440 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 52433440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67482072).

52433440 is an abundant number, since it is smaller than the sum of its proper divisors (82530704).

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

52433440 is a wasteful number, since it uses less digits than its factorization.

52433440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

The square root of 52433440 is about 7241.0938400217. The cubic root of 52433440 is about 374.2853113784.

Adding to 52433440 its reverse (4433425), we get a palindrome (56866865).

The spelling of 52433440 in words is "fifty-two million, four hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 37 40 68 74 80 85 136 148 160 170 185 272 296 340 370 521 544 592 629 680 740 1042 1184 1258 1360 1480 2084 2516 2605 2720 2960 3145 4168 5032 5210 5920 6290 8336 8857 10064 10420 12580 16672 17714 19277 20128 20840 25160 35428 38554 41680 44285 50320 70856 77108 83360 88570 96385 100640 141712 154216 177140 192770 283424 308432 327709 354280 385540 616864 655418 708560 771080 1310836 1417120 1542160 1638545 2621672 3084320 3277090 5243344 6554180 10486688 13108360 26216720 52433440