Search a number
-
+
4256746480 = 245710969737
BaseRepresentation
bin1111110110111000…
…1100101111110000
3101222122211010102001
43331232030233300
532204211341410
61542220503344
7210325514410
oct37556145760
911878733361
104256746480
1118949056a8
129a96aab54
1352ab86acc
142c54a8640
1519da8d33a
hexfdb8cbf0

4256746480 has 80 divisors (see below), whose sum is σ = 11414715840. Its totient is φ = 1446045696.

The previous prime is 4256746471. The next prime is 4256746519. The reversal of 4256746480 is 846476524.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4256746480.

It is a congruent number.

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, 26172 + ... + 95908.

It is an arithmetic number, because the mean of its divisors is an integer number (142683948).

Almost surely, 24256746480 is an apocalyptic number.

4256746480 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 4256746480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5707357920).

4256746480 is an abundant number, since it is smaller than the sum of its proper divisors (7157969360).

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

4256746480 is a wasteful number, since it uses less digits than its factorization.

4256746480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69866 (or 69860 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 46.

The square root of 4256746480 is about 65243.7466735319. The cubic root of 4256746480 is about 1620.6625446245.

The spelling of 4256746480 in words is "four billion, two hundred fifty-six million, seven hundred forty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 109 112 140 218 280 436 545 560 763 872 1090 1526 1744 2180 3052 3815 4360 6104 7630 8720 12208 15260 30520 61040 69737 139474 278948 348685 488159 557896 697370 976318 1115792 1394740 1952636 2440795 2789480 3905272 4881590 5578960 7601333 7810544 9763180 15202666 19526360 30405332 38006665 39052720 53209331 60810664 76013330 106418662 121621328 152026660 212837324 266046655 304053320 425674648 532093310 608106640 851349296 1064186620 2128373240 4256746480