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4241562640 = 245738919471
BaseRepresentation
bin1111110011010001…
…0001110000010000
3101221121020201002121
43330310101300100
532141320001030
61540515224024
7210052454560
oct37464216020
911847221077
104241562640
111887284877
129a45a8014
1352799b8a3
142c3474da0
1519c58e47a
hexfcd11c10

4241562640 has 80 divisors (see below), whose sum is σ = 11299991040. Its totient is φ = 1450437120.

The previous prime is 4241562583. The next prime is 4241562667. The reversal of 4241562640 is 462651424.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 4241562596 and 4241562605.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 208105 + ... + 227575.

It is an arithmetic number, because the mean of its divisors is an integer number (141249888).

Almost surely, 24241562640 is an apocalyptic number.

4241562640 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 4241562640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5649995520).

4241562640 is an abundant number, since it is smaller than the sum of its proper divisors (7058428400).

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

4241562640 is a wasteful number, since it uses less digits than its factorization.

4241562640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19880 (or 19874 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The square root of 4241562640 is about 65127.2803055678. The cubic root of 4241562640 is about 1618.7332779239.

The spelling of 4241562640 in words is "four billion, two hundred forty-one million, five hundred sixty-two thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 389 560 778 1556 1945 2723 3112 3890 5446 6224 7780 10892 13615 15560 19471 21784 27230 31120 38942 43568 54460 77884 97355 108920 136297 155768 194710 217840 272594 311536 389420 545188 681485 778840 1090376 1362970 1557680 2180752 2725940 5451880 7574219 10903760 15148438 30296876 37871095 53019533 60593752 75742190 106039066 121187504 151484380 212078132 265097665 302968760 424156264 530195330 605937520 848312528 1060390660 2120781320 4241562640