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4978429940 = 22511179713723
BaseRepresentation
bin1001010001011110…
…01100111111110100
3110211221210110000002
410220233030333310
540143434224230
62142001010432
7234240646001
oct45057147764
913757713002
104978429940
112125215110
12b6b323a18
13614548943
143532888a8
151e20e5545
hex128bccff4

4978429940 has 96 divisors (see below), whose sum is σ = 12201404544. Its totient is φ = 1686159360.

The previous prime is 4978429931. The next prime is 4978429949. The reversal of 4978429940 is 499248794.

It is an interprime number because it is at equal distance from previous prime (4978429931) and next prime (4978429949).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4978429949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 355919 + ... + 369641.

It is an arithmetic number, because the mean of its divisors is an integer number (127097964).

Almost surely, 24978429940 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 4978429940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6100702272).

4978429940 is an abundant number, since it is smaller than the sum of its proper divisors (7222974604).

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

4978429940 is a wasteful number, since it uses less digits than its factorization.

4978429940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13857 (or 13855 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 56.

The square root of 4978429940 is about 70557.9899090103. The cubic root of 4978429940 is about 1707.5134499433.

The spelling of 4978429940 in words is "four billion, nine hundred seventy-eight million, four hundred twenty-nine thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 97 110 170 187 194 220 340 374 388 485 748 935 970 1067 1649 1870 1940 2134 3298 3740 4268 5335 6596 8245 10670 13723 16490 18139 21340 27446 32980 36278 54892 68615 72556 90695 137230 150953 181390 233291 274460 301906 362780 466582 603812 754765 933164 1166455 1331131 1509530 2332910 2566201 2662262 3019060 4665820 5132402 5324524 6655655 10264804 12831005 13311310 14642441 22629227 25662010 26622620 29284882 45258454 51324020 58569764 73212205 90516908 113146135 146424410 226292270 248921497 292848820 452584540 497842994 995685988 1244607485 2489214970 4978429940