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5542219040 = 255127311877
BaseRepresentation
bin1010010100101011…
…11000110100100000
3112022020122220020212
411022111320310200
542322302002130
62313540553252
7254225041001
oct51225706440
915266586225
105542219040
112394490216
1210a80b2828
136a42a6567
143a80c71a8
1522685de95
hex14a578d20

5542219040 has 96 divisors (see below), whose sum is σ = 13254119424. Its totient is φ = 2189859840.

The previous prime is 5542219027. The next prime is 5542219121. The reversal of 5542219040 is 409122455.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 5542218988 and 5542219006.

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, 6319082 + ... + 6319958.

It is an arithmetic number, because the mean of its divisors is an integer number (138063744).

Almost surely, 25542219040 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 5542219040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6627059712).

5542219040 is an abundant number, since it is smaller than the sum of its proper divisors (7711900384).

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

5542219040 is a wasteful number, since it uses less digits than its factorization.

5542219040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 5542219040 is about 74446.0814281047. The cubic root of 5542219040 is about 1769.6792634921.

The spelling of 5542219040 in words is "five billion, five hundred forty-two million, two hundred nineteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 127 160 254 311 508 622 635 877 1016 1244 1270 1555 1754 2032 2488 2540 3110 3508 4064 4385 4976 5080 6220 7016 8770 9952 10160 12440 14032 17540 20320 24880 28064 35080 39497 49760 70160 78994 111379 140320 157988 197485 222758 272747 315976 394970 445516 545494 556895 631952 789940 891032 1090988 1113790 1263904 1363735 1579880 1782064 2181976 2227580 2727470 3159760 3564128 4363952 4455160 5454940 6319520 8727904 8910320 10909880 17820640 21819760 34638869 43639520 69277738 138555476 173194345 277110952 346388690 554221904 692777380 1108443808 1385554760 2771109520 5542219040