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4241468920 = 2351379223463
BaseRepresentation
bin1111110011001111…
…1010110111111000
3101221121001221112111
43330303322313320
532141304001140
61540513222104
7210051614413
oct37463726770
911847057474
104241468920
111887220417
129a4561934
13527968030
142c344cb7a
1519c5717ea
hexfccfadf8

4241468920 has 128 divisors (see below), whose sum is σ = 10476748800. Its totient is φ = 1535998464.

The previous prime is 4241468909. The next prime is 4241468923. The reversal of 4241468920 is 298641424.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4241468923) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9160609 + ... + 9161071.

It is an arithmetic number, because the mean of its divisors is an integer number (81849600).

Almost surely, 24241468920 is an apocalyptic number.

4241468920 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 4241468920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5238374400).

4241468920 is an abundant number, since it is smaller than the sum of its proper divisors (6235279880).

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

4241468920 is a wasteful number, since it uses less digits than its factorization.

4241468920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The square root of 4241468920 is about 65126.5607874391. The cubic root of 4241468920 is about 1618.7213555254.

The spelling of 4241468920 in words is "four billion, two hundred forty-one million, four hundred sixty-eight thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 79 104 130 158 223 260 316 395 446 463 520 632 790 892 926 1027 1115 1580 1784 1852 2054 2230 2315 2899 3160 3704 4108 4460 4630 5135 5798 6019 8216 8920 9260 10270 11596 12038 14495 17617 18520 20540 23192 24076 28990 30095 35234 36577 41080 48152 57980 60190 70468 73154 88085 103249 115960 120380 140936 146308 176170 182885 206498 229021 240760 292616 352340 365770 412996 458042 475501 516245 704680 731540 825992 916084 951002 1032490 1145105 1342237 1463080 1832168 1902004 2064980 2290210 2377505 2684474 3804008 4129960 4580420 4755010 5368948 6711185 8156671 9160840 9510020 10737896 13422370 16313342 19020040 26844740 32626684 40783355 53689480 65253368 81566710 106036723 163133420 212073446 326266840 424146892 530183615 848293784 1060367230 2120734460 4241468920