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4735424040 = 233539461867
BaseRepresentation
bin1000110100100000…
…01101011000101000
3110020000112110120120
410122100031120220
534144232032130
62101520323240
7225230303664
oct43220153050
913200473516
104735424040
112010029196
12b01a73520
135a60b4879
1432ccad8a4
151caae3910
hex11a40d628

4735424040 has 32 divisors (see below), whose sum is σ = 14206272480. Its totient is φ = 1262779712.

The previous prime is 4735424039. The next prime is 4735424107. The reversal of 4735424040 is 404245374.

It is a junction number, because it is equal to n+sod(n) for n = 4735423992 and 4735424010.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19730814 + ... + 19731053.

It is an arithmetic number, because the mean of its divisors is an integer number (443946015).

Almost surely, 24735424040 is an apocalyptic number.

4735424040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4735424040 is an abundant number, since it is smaller than the sum of its proper divisors (9470848440).

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

4735424040 is a wasteful number, since it uses less digits than its factorization.

4735424040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39461881 (or 39461877 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 33.

The square root of 4735424040 is about 68814.4173847312. The cubic root of 4735424040 is about 1679.2665023597.

The spelling of 4735424040 in words is "four billion, seven hundred thirty-five million, four hundred twenty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 39461867 78923734 118385601 157847468 197309335 236771202 315694936 394618670 473542404 591928005 789237340 947084808 1183856010 1578474680 2367712020 4735424040