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55420040 = 23513197541
BaseRepresentation
bin1101001101101…
…0010010001000
310212021122000002
43103122102020
5103141420130
65255502132
71242030314
oct323322210
9125248002
1055420040
1129312995
1216687948
13b635430
147508b44
154ceab45
hex34da488

55420040 has 64 divisors (see below), whose sum is σ = 135218160. Its totient is φ = 20321280.

The previous prime is 55420039. The next prime is 55420049. The reversal of 55420040 is 4002455.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 27899524 + 27520516 = 5282^2 + 5246^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 55419994 and 55420021.

It is not an unprimeable number, because it can be changed into a prime (55420049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102170 + ... + 102710.

Almost surely, 255420040 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 55420040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67609080).

55420040 is an abundant number, since it is smaller than the sum of its proper divisors (79798120).

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

55420040 is a wasteful number, since it uses less digits than its factorization.

55420040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 55420040 is about 7444.4637147346. The cubic root of 55420040 is about 381.2609084042.

Adding to 55420040 its reverse (4002455), we get a palindrome (59422495).

The spelling of 55420040 in words is "fifty-five million, four hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 197 260 394 520 541 788 985 1082 1576 1970 2164 2561 2705 3940 4328 5122 5410 7033 7880 10244 10820 12805 14066 20488 21640 25610 28132 35165 51220 56264 70330 102440 106577 140660 213154 281320 426308 532885 852616 1065770 1385501 2131540 2771002 4263080 5542004 6927505 11084008 13855010 27710020 55420040