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4750225560 = 233454135759
BaseRepresentation
bin1000110110010001…
…01011000010011000
3110021001101110110000
410123020223002120
534212024204220
62103205453000
7225500152053
oct43310530230
913231343400
104750225560
112018418853
12b06a11160
135a9197a72
14330c43a9a
151cc069390
hex11b22b098

4750225560 has 160 divisors (see below), whose sum is σ = 16355908800. Its totient is φ = 1235796480.

The previous prime is 4750225553. The next prime is 4750225631. The reversal of 4750225560 is 655220574.

4750225560 is a `hidden beast` number, since 4 + 75 + 0 + 2 + 25 + 560 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 114961 + ... + 150719.

It is an arithmetic number, because the mean of its divisors is an integer number (102224430).

Almost surely, 24750225560 is an apocalyptic number.

4750225560 is a gapful number since it is divisible by the number (40) 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 4750225560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8177954400).

4750225560 is an abundant number, since it is smaller than the sum of its proper divisors (11605683240).

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

4750225560 is a wasteful number, since it uses less digits than its factorization.

4750225560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35823 (or 35810 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 4750225560 is about 68921.8801252549. The cubic root of 4750225560 is about 1681.0143109493.

The spelling of 4750225560 in words is "four billion, seven hundred fifty million, two hundred twenty-five thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 41 45 54 60 72 81 82 90 108 120 123 135 162 164 180 205 216 246 270 324 328 360 369 405 410 492 540 615 648 738 810 820 984 1080 1107 1230 1476 1620 1640 1845 2214 2460 2952 3240 3321 3690 4428 4920 5535 6642 7380 8856 11070 13284 14760 16605 22140 26568 33210 35759 44280 66420 71518 107277 132840 143036 178795 214554 286072 321831 357590 429108 536385 643662 715180 858216 965493 1072770 1287324 1430360 1466119 1609155 1930986 2145540 2574648 2896479 2932238 3218310 3861972 4291080 4398357 4827465 5792958 5864476 6436620 7330595 7723944 8796714 9654930 11585916 11728952 12873240 13195071 14482395 14661190 17593428 19309860 21991785 23171832 26390142 28964790 29322380 35186856 38619720 39585213 43983570 52780284 57929580 58644760 65975355 79170426 87967140 105560568 115859160 118755639 131950710 158340852 175934280 197926065 237511278 263901420 316681704 395852130 475022556 527802840 593778195 791704260 950045112 1187556390 1583408520 2375112780 4750225560