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556354040 = 235114726903
BaseRepresentation
bin100001001010010…
…100100111111000
31102202212201021012
4201022110213320
52114411312130
6131112333052
716533634304
oct4112244770
91382781235
10556354040
11266058030
121363a4188
138b356698
1453c64d04
1533c9a995
hex212949f8

556354040 has 64 divisors (see below), whose sum is σ = 1394703360. Its totient is φ = 197998720.

The previous prime is 556353989. The next prime is 556354049. The reversal of 556354040 is 40453655.

It is a junction number, because it is equal to n+sod(n) for n = 556353988 and 556354006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (556354049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7229 + ... + 34131.

It is an arithmetic number, because the mean of its divisors is an integer number (21792240).

Almost surely, 2556354040 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 556354040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697351680).

556354040 is an abundant number, since it is smaller than the sum of its proper divisors (838349320).

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

556354040 is a wasteful number, since it uses less digits than its factorization.

556354040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26972 (or 26968 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 32.

The square root of 556354040 is about 23587.1583706050. The cubic root of 556354040 is about 822.4643493015.

The spelling of 556354040 in words is "five hundred fifty-six million, three hundred fifty-four thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 47 55 88 94 110 188 220 235 376 440 470 517 940 1034 1880 2068 2585 4136 5170 10340 20680 26903 53806 107612 134515 215224 269030 295933 538060 591866 1076120 1183732 1264441 1479665 2367464 2528882 2959330 5057764 5918660 6322205 10115528 11837320 12644410 13908851 25288820 27817702 50577640 55635404 69544255 111270808 139088510 278177020 556354040