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2048631440 = 24537967567
BaseRepresentation
bin111101000011011…
…1010001010010000
312021202212021000112
41322012322022100
513143422201230
6535141140452
7101524036262
oct17206721220
95252767015
102048631440
11961443139
124920ba728
1326857386b
14156117b32
15becbbd95
hex7a1ba290

2048631440 has 40 divisors (see below), whose sum is σ = 4775706240. Its totient is φ = 817278336.

The previous prime is 2048631391. The next prime is 2048631443. The reversal of 2048631440 is 441368402.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 2048631397 and 2048631406.

It is not an unprimeable number, because it can be changed into a prime (2048631443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3464 + ... + 64103.

It is an arithmetic number, because the mean of its divisors is an integer number (119392656).

Almost surely, 22048631440 is an apocalyptic number.

2048631440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2048631440 is an abundant number, since it is smaller than the sum of its proper divisors (2727074800).

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

2048631440 is a wasteful number, since it uses less digits than its factorization.

2048631440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67959 (or 67953 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 2048631440 is about 45261.8099505532. The cubic root of 2048631440 is about 1270.0513422937.

Adding to 2048631440 its reverse (441368402), we get a palindrome (2489999842).

The spelling of 2048631440 in words is "two billion, forty-eight million, six hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 379 758 1516 1895 3032 3790 6064 7580 15160 30320 67567 135134 270268 337835 540536 675670 1081072 1351340 2702680 5405360 25607893 51215786 102431572 128039465 204863144 256078930 409726288 512157860 1024315720 2048631440