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2648931040 = 255710123417
BaseRepresentation
bin1001110111100011…
…0111101011100000
320211121102122021001
42131320313223200
520411111243130
61114503441344
7122433354010
oct23570675340
96747378231
102648931040
11113a286108
1261b156254
13332a45922
141b1b3bc40
151078486ca
hex9de37ae0

2648931040 has 96 divisors (see below), whose sum is σ = 7223235264. Its totient is φ = 899174400.

The previous prime is 2648931023. The next prime is 2648931097. The reversal of 2648931040 is 401398462.

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, 101412 + ... + 124828.

It is an arithmetic number, because the mean of its divisors is an integer number (75242034).

Almost surely, 22648931040 is an apocalyptic number.

2648931040 is a gapful number since it is divisible by the number (20) 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 2648931040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3611617632).

2648931040 is an abundant number, since it is smaller than the sum of its proper divisors (4574304224).

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

2648931040 is a wasteful number, since it uses less digits than its factorization.

2648931040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23540 (or 23532 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 2648931040 is about 51467.7670003275. The cubic root of 2648931040 is about 1383.6414086515.

The spelling of 2648931040 in words is "two billion, six hundred forty-eight million, nine hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 101 112 140 160 202 224 280 404 505 560 707 808 1010 1120 1414 1616 2020 2828 3232 3535 4040 5656 7070 8080 11312 14140 16160 22624 23417 28280 46834 56560 93668 113120 117085 163919 187336 234170 327838 374672 468340 655676 749344 819595 936680 1311352 1639190 1873360 2365117 2622704 3278380 3746720 4730234 5245408 6556760 9460468 11825585 13113520 16555819 18920936 23651170 26227040 33111638 37841872 47302340 66223276 75683744 82779095 94604680 132446552 165558190 189209360 264893104 331116380 378418720 529786208 662232760 1324465520 2648931040