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5446320440 = 2351124151361
BaseRepresentation
bin1010001001010000…
…00100000100111000
3112001120012202002212
411010220010010320
542123224223230
62300233314252
7251651650151
oct50450040470
915046182085
105446320440
112345340180
12107bb65988
1368a46a822
14399482928
1521d219895
hex144a04138

5446320440 has 64 divisors (see below), whose sum is σ = 13423972320. Its totient is φ = 1972224000.

The previous prime is 5446320421. The next prime is 5446320449. The reversal of 5446320440 is 440236445.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 5446320397 and 5446320406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5446320449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80360 + ... + 131720.

Almost surely, 25446320440 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 5446320440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6711986160).

5446320440 is an abundant number, since it is smaller than the sum of its proper divisors (7977651880).

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

5446320440 is a wasteful number, since it uses less digits than its factorization.

5446320440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51624 (or 51620 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 32.

The square root of 5446320440 is about 73799.1899684543. The cubic root of 5446320440 is about 1759.4127302003.

Adding to 5446320440 its reverse (440236445), we get a palindrome (5886556885).

The spelling of 5446320440 in words is "five billion, four hundred forty-six million, three hundred twenty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 241 440 482 964 1205 1928 2410 2651 4820 5302 9640 10604 13255 21208 26510 51361 53020 102722 106040 205444 256805 410888 513610 564971 1027220 1129942 2054440 2259884 2824855 4519768 5649710 11299420 12378001 22598840 24756002 49512004 61890005 99024008 123780010 136158011 247560020 272316022 495120040 544632044 680790055 1089264088 1361580110 2723160220 5446320440