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4907408040 = 2332513631689
BaseRepresentation
bin1001001001000000…
…10001101010101000
3110200000011011021100
410210200101222220
540022244024130
62130542441400
7232416165033
oct44440215250
913600134240
104907408040
112099116327
12b4b593260
1360290cc52
14347a7c01a
151dac66c60
hex124811aa8

4907408040 has 48 divisors (see below), whose sum is σ = 15949077300. Its totient is φ = 1308642048.

The previous prime is 4907407987. The next prime is 4907408047. The reversal of 4907408040 is 408047094.

It can be written as a sum of positive squares in 2 ways, for example, as 4778403876 + 129004164 = 69126^2 + 11358^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4907407986 and 4907408004.

It is not an unprimeable number, because it can be changed into a prime (4907408047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6815485 + ... + 6816204.

Almost surely, 24907408040 is an apocalyptic number.

4907408040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4907408040 is an abundant number, since it is smaller than the sum of its proper divisors (11041669260).

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

4907408040 is a wasteful number, since it uses less digits than its factorization.

4907408040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13631706 (or 13631699 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 4907408040 is about 70052.8945868763. The cubic root of 4907408040 is about 1699.3547770558.

The spelling of 4907408040 in words is "four billion, nine hundred seven million, four hundred eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 13631689 27263378 40895067 54526756 68158445 81790134 109053512 122685201 136316890 163580268 204475335 245370402 272633780 327160536 408950670 490740804 545267560 613426005 817901340 981481608 1226852010 1635802680 2453704020 4907408040