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5029259400 = 23325211254003
BaseRepresentation
bin1001010111100010…
…00110100010001000
3110222111102211220200
410223301012202020
540244442300100
62151014252200
7235425666564
oct45361064210
913874384820
105029259400
112150982030
12b84357060
13621c34749
14359d1a6a4
151e67d5e00
hex12bc46888

5029259400 has 144 divisors (see below), whose sum is σ = 18425450160. Its totient is φ = 1219209600.

The previous prime is 5029259399. The next prime is 5029259407. The reversal of 5029259400 is 49529205.

It is a happy number.

It is a super-2 number, since 2×50292594002 = 50586900224976720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5029259407) 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 35 ways as a sum of consecutive naturals, for example, 107202 + ... + 146801.

It is an arithmetic number, because the mean of its divisors is an integer number (127954515).

Almost surely, 25029259400 is an apocalyptic number.

5029259400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5029259400 is an abundant number, since it is smaller than the sum of its proper divisors (13396190760).

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

5029259400 is a wasteful number, since it uses less digits than its factorization.

5029259400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254036 (or 254024 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 5029259400 is about 70917.2715211182. The cubic root of 5029259400 is about 1713.3049860646.

The spelling of 5029259400 in words is "five billion, twenty-nine million, two hundred fifty-nine thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 25 30 33 36 40 44 45 50 55 60 66 72 75 88 90 99 100 110 120 132 150 165 180 198 200 220 225 264 275 300 330 360 396 440 450 495 550 600 660 792 825 900 990 1100 1320 1650 1800 1980 2200 2475 3300 3960 4950 6600 9900 19800 254003 508006 762009 1016012 1270015 1524018 2032024 2286027 2540030 2794033 3048036 3810045 4572054 5080060 5588066 6096072 6350075 7620090 8382099 9144108 10160120 11176132 11430135 12700150 13970165 15240180 16764198 18288216 19050225 22352264 22860270 25146297 25400300 27940330 30480360 33528396 38100450 41910495 45720540 50292594 50800600 55880660 57150675 67056792 69850825 76200900 83820990 91441080 100585188 111761320 114301350 125731485 139701650 152401800 167641980 201170376 209552475 228602700 251462970 279403300 335283960 419104950 457205400 502925940 558806600 628657425 838209900 1005851880 1257314850 1676419800 2514629700 5029259400