Search a number
-
+
4241742000 = 24353823859
BaseRepresentation
bin1111110011010011…
…1101100010110000
3101221121120211010120
43330310331202300
532141341221000
61540523130240
7210054132516
oct37464754260
911847524116
104241742000
111887397601
129a4673980
13527a32412
142c34c04b6
1519c5c76a0
hexfcd3d8b0

4241742000 has 160 divisors (see below), whose sum is σ = 13707932160. Its totient is φ = 1128441600.

The previous prime is 4241741993. The next prime is 4241742019. The reversal of 4241742000 is 2471424.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4937571 + ... + 4938429.

It is an arithmetic number, because the mean of its divisors is an integer number (85674576).

Almost surely, 24241742000 is an apocalyptic number.

4241742000 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 4241742000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6853966080).

4241742000 is an abundant number, since it is smaller than the sum of its proper divisors (9466190160).

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

4241742000 is a wasteful number, since it uses less digits than its factorization.

4241742000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1708 (or 1692 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 4241742000 is about 65128.6572869424. The cubic root of 4241742000 is about 1618.7560943505.

The spelling of 4241742000 in words is "four billion, two hundred forty-one million, seven hundred forty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 823 859 1000 1200 1500 1646 1718 2000 2469 2577 3000 3292 3436 4115 4295 4938 5154 6000 6584 6872 8230 8590 9876 10308 12345 12885 13168 13744 16460 17180 19752 20575 20616 21475 24690 25770 32920 34360 39504 41150 41232 42950 49380 51540 61725 64425 65840 68720 82300 85900 98760 102875 103080 107375 123450 128850 164600 171800 197520 205750 206160 214750 246900 257700 308625 322125 329200 343600 411500 429500 493800 515400 617250 644250 706957 823000 859000 987600 1030800 1234500 1288500 1413914 1646000 1718000 2120871 2469000 2577000 2827828 3534785 4241742 4938000 5154000 5655656 7069570 8483484 10604355 11311312 14139140 16966968 17673925 21208710 28278280 33933936 35347850 42417420 53021775 56556560 70695700 84834840 88369625 106043550 141391400 169669680 176739250 212087100 265108875 282782800 353478500 424174200 530217750 706957000 848348400 1060435500 1413914000 2120871000 4241742000