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4049268640 = 255157331487
BaseRepresentation
bin1111000101011010…
…1110111110100000
3101110012102011022121
43301112232332200
531243103044030
61505445514024
7202226133634
oct36126567640
911405364277
104049268640
11179878550a
12950112914
134c6bb1c61
142a5adadc4
1518a75847a
hexf15aefa0

4049268640 has 96 divisors (see below), whose sum is σ = 9676243584. Its totient is φ = 1601233920.

The previous prime is 4049268617. The next prime is 4049268647. The reversal of 4049268640 is 468629404.

It is not an unprimeable number, because it can be changed into a prime (4049268647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8314477 + ... + 8314963.

It is an arithmetic number, because the mean of its divisors is an integer number (100794204).

Almost surely, 24049268640 is an apocalyptic number.

4049268640 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 4049268640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4838121792).

4049268640 is an abundant number, since it is smaller than the sum of its proper divisors (5626974944).

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

4049268640 is a wasteful number, since it uses less digits than its factorization.

4049268640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 43.

The square root of 4049268640 is about 63633.8639405152. The cubic root of 4049268640 is about 1593.8918991124.

The spelling of 4049268640 in words is "four billion, forty-nine million, two hundred sixty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 157 160 314 331 487 628 662 785 974 1256 1324 1570 1655 1948 2435 2512 2648 3140 3310 3896 4870 5024 5296 6280 6620 7792 9740 10592 12560 13240 15584 19480 25120 26480 38960 51967 52960 76459 77920 103934 152918 161197 207868 259835 305836 322394 382295 415736 519670 611672 644788 764590 805985 831472 1039340 1223344 1289576 1529180 1611970 1662944 2078680 2446688 2579152 3058360 3223940 4157360 5158304 6116720 6447880 8314720 12233440 12895760 25307929 25791520 50615858 101231716 126539645 202463432 253079290 404926864 506158580 809853728 1012317160 2024634320 4049268640