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5506039840 = 255721514651
BaseRepresentation
bin1010010000010111…
…11000000000100000
3112012201120210201111
411020023320000200
542234021233330
62310205313104
7253305365200
oct51013700040
915181523644
105506039840
11237601a254
121097b65794
13699949b52
143a338a400
152235b432a
hex1482f8020

5506039840 has 144 divisors (see below), whose sum is σ = 15235262784. Its totient is φ = 1874880000.

The previous prime is 5506039837. The next prime is 5506039841. The reversal of 5506039840 is 489306055.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 5506039793 and 5506039802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5506039841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1181515 + ... + 1186165.

It is an arithmetic number, because the mean of its divisors is an integer number (105800436).

Almost surely, 25506039840 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 5506039840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7617631392).

5506039840 is an abundant number, since it is smaller than the sum of its proper divisors (9729222944).

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

5506039840 is a wasteful number, since it uses less digits than its factorization.

5506039840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4831 (or 4816 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 40.

The square root of 5506039840 is about 74202.6942907062. The cubic root of 5506039840 is about 1765.8200748945.

The spelling of 5506039840 in words is "five billion, five hundred six million, thirty-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 151 160 196 224 245 280 302 392 490 560 604 755 784 980 1057 1120 1208 1510 1568 1960 2114 2416 3020 3920 4228 4651 4832 5285 6040 7399 7840 8456 9302 10570 12080 14798 16912 18604 21140 23255 24160 29596 32557 33824 36995 37208 42280 46510 59192 65114 73990 74416 84560 93020 118384 130228 147980 148832 162785 169120 186040 227899 236768 260456 295960 325570 372080 455798 520912 591920 651140 702301 744160 911596 1041824 1139495 1183840 1302280 1404602 1823192 2278990 2604560 2809204 3511505 3646384 4557980 4916107 5209120 5618408 7023010 7292768 9115960 9832214 11236816 14046020 18231920 19664428 22473632 24580535 28092040 34412749 36463840 39328856 49161070 56184080 68825498 78657712 98322140 112368160 137650996 157315424 172063745 196644280 275301992 344127490 393288560 550603984 688254980 786577120 1101207968 1376509960 2753019920 5506039840