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5244087200 = 2552111314549
BaseRepresentation
bin1001110001001001…
…00110101110100000
3111112110200020020212
410320210212232200
541214441242300
62224210553252
7243645001652
oct47044465640
914473606225
105244087200
112251172370
121024298828
136575b0ba1
1437a67c6d2
1520a5bd935
hex138926ba0

5244087200 has 144 divisors (see below), whose sum is σ = 14075661600. Its totient is φ = 1891968000.

The previous prime is 5244087187. The next prime is 5244087217. The reversal of 5244087200 is 27804425.

It is a super-2 number, since 2×52440872002 = 55000901122407680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1150526 + ... + 1155074.

It is an arithmetic number, because the mean of its divisors is an integer number (97747650).

Almost surely, 25244087200 is an apocalyptic number.

5244087200 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 5244087200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7037830800).

5244087200 is an abundant number, since it is smaller than the sum of its proper divisors (8831574400).

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

5244087200 is a wasteful number, since it uses less digits than its factorization.

5244087200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4711 (or 4698 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 32.

The square root of 5244087200 is about 72416.0700397363. The cubic root of 5244087200 is about 1737.3605995506.

The spelling of 5244087200 in words is "five billion, two hundred forty-four million, eighty-seven thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 131 160 176 200 220 262 275 352 400 440 524 550 655 800 880 1048 1100 1310 1441 1760 2096 2200 2620 2882 3275 4192 4400 4549 5240 5764 6550 7205 8800 9098 10480 11528 13100 14410 18196 20960 22745 23056 26200 28820 36025 36392 45490 46112 50039 52400 57640 72050 72784 90980 100078 104800 113725 115280 144100 145568 181960 200156 227450 230560 250195 288200 363920 400312 454900 500390 576400 595919 727840 800624 909800 1000780 1152800 1191838 1250975 1601248 1819600 2001560 2383676 2501950 2979595 3639200 4003120 4767352 5003900 5959190 6555109 8006240 9534704 10007800 11918380 13110218 14897975 19069408 20015600 23836760 26220436 29795950 32775545 40031200 47673520 52440872 59591900 65551090 95347040 104881744 119183800 131102180 163877725 209763488 238367600 262204360 327755450 476735200 524408720 655510900 1048817440 1311021800 2622043600 5244087200