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2406246440 = 235137363389
BaseRepresentation
bin1000111101101100…
…0110100000101000
320012200202222120112
42033123012200220
514411444341230
61034434113452
7113425520513
oct21733064050
96180688515
102406246440
111025299624
12571a1b888
132c4694b80
1418b807d7a
15e13abd95
hex8f6c6828

2406246440 has 64 divisors (see below), whose sum is σ = 5910483600. Its totient is φ = 876275712.

The previous prime is 2406246391. The next prime is 2406246449. The reversal of 2406246440 is 446426042.

It can be written as a sum of positive squares in 8 ways, for example, as 1030281604 + 1375964836 = 32098^2 + 37094^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2406246397 and 2406246406.

It is not an unprimeable number, because it can be changed into a prime (2406246449) 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, 6266 + ... + 69654.

Almost surely, 22406246440 is an apocalyptic number.

2406246440 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 2406246440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2955241800).

2406246440 is an abundant number, since it is smaller than the sum of its proper divisors (3504237160).

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

2406246440 is a wasteful number, since it uses less digits than its factorization.

2406246440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63486 (or 63482 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

The square root of 2406246440 is about 49053.5058889780. The cubic root of 2406246440 is about 1340.0264418930.

The spelling of 2406246440 in words is "two billion, four hundred six million, two hundred forty-six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 73 104 130 146 260 292 365 520 584 730 949 1460 1898 2920 3796 4745 7592 9490 18980 37960 63389 126778 253556 316945 507112 633890 824057 1267780 1648114 2535560 3296228 4120285 4627397 6592456 8240570 9254794 16481140 18509588 23136985 32962280 37019176 46273970 60156161 92547940 120312322 185095880 240624644 300780805 481249288 601561610 1203123220 2406246440