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5307628500 = 2232531995927
BaseRepresentation
bin1001111000101101…
…11111101111010100
3111200220020110112100
410330112333233110
541332223103000
62234400522100
7245346045366
oct47426775724
914626213470
105307628500
112284021939
121041620330
136677ca9a5
14384c9cd36
15210e70a00
hex13c5bfbd4

5307628500 has 144 divisors (see below), whose sum is σ = 16830777600. Its totient is φ = 1408017600.

The previous prime is 5307628481. The next prime is 5307628519. The reversal of 5307628500 is 58267035.

5307628500 is a `hidden beast` number, since 530 + 76 + 2 + 8 + 50 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5307628481) and next prime (5307628519).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 892537 + ... + 898463.

It is an arithmetic number, because the mean of its divisors is an integer number (116880400).

Almost surely, 25307628500 is an apocalyptic number.

5307628500 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 5307628500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8415388800).

5307628500 is an abundant number, since it is smaller than the sum of its proper divisors (11523149100).

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

5307628500 is a wasteful number, since it uses less digits than its factorization.

5307628500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6151 (or 6136 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 5307628500 is about 72853.4728067235. The cubic root of 5307628500 is about 1744.3495028890.

The spelling of 5307628500 in words is "five billion, three hundred seven million, six hundred twenty-eight thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 125 150 180 199 225 250 300 375 398 450 500 597 750 796 900 995 1125 1194 1500 1791 1990 2250 2388 2985 3582 3980 4500 4975 5927 5970 7164 8955 9950 11854 11940 14925 17781 17910 19900 23708 24875 29635 29850 35562 35820 44775 49750 53343 59270 59700 71124 74625 88905 89550 99500 106686 118540 148175 149250 177810 179100 213372 223875 266715 296350 298500 355620 444525 447750 533430 592700 740875 889050 895500 1066860 1179473 1333575 1481750 1778100 2222625 2358946 2667150 2963500 3538419 4445250 4717892 5334300 5897365 6667875 7076838 8890500 10615257 11794730 13335750 14153676 17692095 21230514 23589460 26671500 29486825 35384190 42461028 53076285 58973650 70768380 88460475 106152570 117947300 147434125 176920950 212305140 265381425 294868250 353841900 442302375 530762850 589736500 884604750 1061525700 1326907125 1769209500 2653814250 5307628500