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4007070040 = 235388925759
BaseRepresentation
bin1110111011010111…
…0000100101011000
3101100021000020201111
43232311300211120
531201302220130
61501341230104
7201204350641
oct35665604530
911307006644
104007070040
111776983036
12939b62334
134bb22877c
142a02746c8
15186bc002a
hexeed70958

4007070040 has 32 divisors (see below), whose sum is σ = 9018576000. Its totient is φ = 1602353664.

The previous prime is 4007070031. The next prime is 4007070043. The reversal of 4007070040 is 400707004.

It is a happy number.

It is a super-2 number, since 2×40070700402 = 32113220610931203200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4007069993 and 4007070020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4007070043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 142681 + ... + 168439.

It is an arithmetic number, because the mean of its divisors is an integer number (281830500).

Almost surely, 24007070040 is an apocalyptic number.

4007070040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4007070040 is an abundant number, since it is smaller than the sum of its proper divisors (5011505960).

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

4007070040 is a wasteful number, since it uses less digits than its factorization.

4007070040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29659 (or 29655 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 22.

The square root of 4007070040 is about 63301.4221009291. The cubic root of 4007070040 is about 1588.3357505657.

Adding to 4007070040 its reverse (400707004), we get a palindrome (4407777044).

The spelling of 4007070040 in words is "four billion, seven million, seventy thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 3889 7778 15556 19445 25759 31112 38890 51518 77780 103036 128795 155560 206072 257590 515180 1030360 100176751 200353502 400707004 500883755 801414008 1001767510 2003535020 4007070040