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4768258620 = 22351914292927
BaseRepresentation
bin1000111000011010…
…11101101000111100
3110022022022122011010
410130031131220330
534231133233440
62105052155220
7226106346426
oct43415355074
913268278133
104768258620
112027615304
12b10a68b10
135acb3cb08
143333b9816
151cd92c580
hex11c35da3c

4768258620 has 96 divisors (see below), whose sum is σ = 14068454400. Its totient is φ = 1203358464.

The previous prime is 4768258591. The next prime is 4768258657. The reversal of 4768258620 is 268528674.

It is a self number, because there is not a number n which added to its sum of digits gives 4768258620.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1627597 + ... + 1630523.

It is an arithmetic number, because the mean of its divisors is an integer number (146546400).

Almost surely, 24768258620 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4768258620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7034227200).

4768258620 is an abundant number, since it is smaller than the sum of its proper divisors (9300195780).

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

4768258620 is a wasteful number, since it uses less digits than its factorization.

4768258620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4387 (or 4385 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The square root of 4768258620 is about 69052.5786629290. The cubic root of 4768258620 is about 1683.1388102727.

The spelling of 4768258620 in words is "four billion, seven hundred sixty-eight million, two hundred fifty-eight thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 1429 2858 2927 4287 5716 5854 7145 8574 8781 11708 14290 14635 17148 17562 21435 27151 28580 29270 35124 42870 43905 54302 55613 58540 81453 85740 87810 108604 111226 135755 162906 166839 175620 222452 271510 278065 325812 333678 407265 543020 556130 667356 814530 834195 1112260 1629060 1668390 3336780 4182683 8365366 12548049 16730732 20913415 25096098 41826830 50192196 62740245 79470977 83653660 125480490 158941954 238412931 250960980 317883908 397354885 476825862 794709770 953651724 1192064655 1589419540 2384129310 4768258620