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5042032200 = 2332523190359
BaseRepresentation
bin1001011001000011…
…10100111001001000
3111000101110202220100
410230201310321020
540311230012300
62152152125400
7235642365222
oct45441647110
914011422810
105042032200
112158106467
12b88696860
1362478740a
1435b8c3412
151e79aa700
hex12c874e48

5042032200 has 144 divisors (see below), whose sum is σ = 17479238400. Its totient is φ = 1301155200.

The previous prime is 5042032187. The next prime is 5042032243. The reversal of 5042032200 is 22302405.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10621 + ... + 100979.

It is an arithmetic number, because the mean of its divisors is an integer number (121383600).

Almost surely, 25042032200 is an apocalyptic number.

5042032200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5042032200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8739619200).

5042032200 is an abundant number, since it is smaller than the sum of its proper divisors (12437206200).

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

5042032200 is a wasteful number, since it uses less digits than its factorization.

5042032200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90412 (or 90400 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 5042032200 is about 71007.2686420200. The cubic root of 5042032200 is about 1714.7541856573.

Adding to 5042032200 its reverse (22302405), we get a palindrome (5064334605).

The spelling of 5042032200 in words is "five billion, forty-two million, thirty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 31 36 40 45 50 60 62 72 75 90 93 100 120 124 150 155 180 186 200 225 248 279 300 310 360 372 450 465 558 600 620 744 775 900 930 1116 1240 1395 1550 1800 1860 2232 2325 2790 3100 3720 4650 5580 6200 6975 9300 11160 13950 18600 27900 55800 90359 180718 271077 361436 451795 542154 722872 813231 903590 1084308 1355385 1626462 1807180 2168616 2258975 2710770 2801129 3252924 3614360 4066155 4517950 5421540 5602258 6505848 6776925 8132310 8403387 9035900 10843080 11204516 13553850 14005645 16264620 16806774 18071800 20330775 22409032 25210161 27107700 28011290 32529240 33613548 40661550 42016935 50420322 54215400 56022580 67227096 70028225 81323100 84033870 100840644 112045160 126050805 140056450 162646200 168067740 201681288 210084675 252101610 280112900 336135480 420169350 504203220 560225800 630254025 840338700 1008406440 1260508050 1680677400 2521016100 5042032200