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5633440 = 255137257
BaseRepresentation
bin10101011111010110100000
3101121012121221
4111133112200
52420232230
6320424424
765612011
oct25372640
911535557
105633440
1131a853a
121a78114
1312231c7
14a69008
1576427a
hex55f5a0

5633440 has 48 divisors (see below), whose sum is σ = 13458312. Its totient is φ = 2228224.

The previous prime is 5633437. The next prime is 5633461. The reversal of 5633440 is 443365.

It can be written as a sum of positive squares in 4 ways, for example, as 5588496 + 44944 = 2364^2 + 212^2 .

It is a zygodrome in base 4.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21792 + ... + 22048.

Almost surely, 25633440 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 5633440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6729156).

5633440 is an abundant number, since it is smaller than the sum of its proper divisors (7824872).

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

5633440 is a wasteful number, since it uses less digits than its factorization.

5633440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 5633440 is about 2373.4868864184. The cubic root of 5633440 is about 177.9335694540.

The spelling of 5633440 in words is "five million, six hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 137 160 257 274 514 548 685 1028 1096 1285 1370 2056 2192 2570 2740 4112 4384 5140 5480 8224 10280 10960 20560 21920 35209 41120 70418 140836 176045 281672 352090 563344 704180 1126688 1408360 2816720 5633440